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Finding the Fourth Proportional to 8,323.16, 11,484.86 and 4,966.38

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Solution

The fourth proportional to 8,323.16, 11,484.86 and 4,966.38 is: 6,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.16 : 11,484.86 = 4,966.38 : x
  2. Step 2: Convert to fraction form
    8,323.16/11,484.86 = 4,966.38/x
  3. Step 3: Cross multiply
    8,323.16x = 11,484.86 × 4,966.38
  4. Step 4: Simplify right side
    8,323.16x = 57,038,154.17
  5. Step 5: Solve for x
    x = 57,038,154.17/8,323.16
  6. Step 6: Final answer
    x = 6,852.95

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Half scale
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Double scale
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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.