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Finding the Fourth Proportional to 9,862.16, 14,798.10 and 6,959.12

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Solution

The fourth proportional to 9,862.16, 14,798.10 and 6,959.12 is: 10,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.16 : 14,798.10 = 6,959.12 : x
  2. Step 2: Convert to fraction form
    9,862.16/14,798.10 = 6,959.12/x
  3. Step 3: Cross multiply
    9,862.16x = 14,798.10 × 6,959.12
  4. Step 4: Simplify right side
    9,862.16x = 102,981,753.67
  5. Step 5: Solve for x
    x = 102,981,753.67/9,862.16
  6. Step 6: Final answer
    x = 10,442.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.