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Finding the Fourth Proportional to 9,892.17, 13,645.04 and 6,116.49

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Solution

The fourth proportional to 9,892.17, 13,645.04 and 6,116.49 is: 8,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.17 : 13,645.04 = 6,116.49 : x
  2. Step 2: Convert to fraction form
    9,892.17/13,645.04 = 6,116.49/x
  3. Step 3: Cross multiply
    9,892.17x = 13,645.04 × 6,116.49
  4. Step 4: Simplify right side
    9,892.17x = 83,459,750.71
  5. Step 5: Solve for x
    x = 83,459,750.71/9,892.17
  6. Step 6: Final answer
    x = 8,436.95

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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.