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Finding the Fourth Proportional to 9,892.60, 14,767.40 and 8,415.97

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Solution

The fourth proportional to 9,892.60, 14,767.40 and 8,415.97 is: 12,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.60 : 14,767.40 = 8,415.97 : x
  2. Step 2: Convert to fraction form
    9,892.60/14,767.40 = 8,415.97/x
  3. Step 3: Cross multiply
    9,892.60x = 14,767.40 × 8,415.97
  4. Step 4: Simplify right side
    9,892.60x = 124,281,995.38
  5. Step 5: Solve for x
    x = 124,281,995.38/9,892.60
  6. Step 6: Final answer
    x = 12,563.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.