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Finding the Fourth Proportional to 9,655.92, 13,327.08 and 6,116.64

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Solution

The fourth proportional to 9,655.92, 13,327.08 and 6,116.64 is: 8,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.92 : 13,327.08 = 6,116.64 : x
  2. Step 2: Convert to fraction form
    9,655.92/13,327.08 = 6,116.64/x
  3. Step 3: Cross multiply
    9,655.92x = 13,327.08 × 6,116.64
  4. Step 4: Simplify right side
    9,655.92x = 81,516,950.61
  5. Step 5: Solve for x
    x = 81,516,950.61/9,655.92
  6. Step 6: Final answer
    x = 8,442.17

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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.