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Finding the Fourth Proportional to 9,861.94, 13,606.14 and 6,032.17

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Solution

The fourth proportional to 9,861.94, 13,606.14 and 6,032.17 is: 8,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.94 : 13,606.14 = 6,032.17 : x
  2. Step 2: Convert to fraction form
    9,861.94/13,606.14 = 6,032.17/x
  3. Step 3: Cross multiply
    9,861.94x = 13,606.14 × 6,032.17
  4. Step 4: Simplify right side
    9,861.94x = 82,074,549.52
  5. Step 5: Solve for x
    x = 82,074,549.52/9,861.94
  6. Step 6: Final answer
    x = 8,322.35

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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.