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Finding the Fourth Proportional to 11,497.01, 15,866.28 and 6,461.12

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Solution

The fourth proportional to 11,497.01, 15,866.28 and 6,461.12 is: 8,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.01 : 15,866.28 = 6,461.12 : x
  2. Step 2: Convert to fraction form
    11,497.01/15,866.28 = 6,461.12/x
  3. Step 3: Cross multiply
    11,497.01x = 15,866.28 × 6,461.12
  4. Step 4: Simplify right side
    11,497.01x = 102,513,978.70
  5. Step 5: Solve for x
    x = 102,513,978.70/11,497.01
  6. Step 6: Final answer
    x = 8,916.58

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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.