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Finding the Fourth Proportional to 9,775.94, 13,472.71 and 6,943.44

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Solution

The fourth proportional to 9,775.94, 13,472.71 and 6,943.44 is: 9,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.94 : 13,472.71 = 6,943.44 : x
  2. Step 2: Convert to fraction form
    9,775.94/13,472.71 = 6,943.44/x
  3. Step 3: Cross multiply
    9,775.94x = 13,472.71 × 6,943.44
  4. Step 4: Simplify right side
    9,775.94x = 93,546,936.16
  5. Step 5: Solve for x
    x = 93,546,936.16/9,775.94
  6. Step 6: Final answer
    x = 9,569.10

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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.