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Finding the Fourth Proportional to 9,775.71, 13,467.69 and 7,996.95

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Solution

The fourth proportional to 9,775.71, 13,467.69 and 7,996.95 is: 11,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.71 : 13,467.69 = 7,996.95 : x
  2. Step 2: Convert to fraction form
    9,775.71/13,467.69 = 7,996.95/x
  3. Step 3: Cross multiply
    9,775.71x = 13,467.69 × 7,996.95
  4. Step 4: Simplify right side
    9,775.71x = 107,700,443.55
  5. Step 5: Solve for x
    x = 107,700,443.55/9,775.71
  6. Step 6: Final answer
    x = 11,017.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.