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Finding the Fourth Proportional to 9,916.32, 13,677.36 and 8,421.88

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Solution

The fourth proportional to 9,916.32, 13,677.36 and 8,421.88 is: 11,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.32 : 13,677.36 = 8,421.88 : x
  2. Step 2: Convert to fraction form
    9,916.32/13,677.36 = 8,421.88/x
  3. Step 3: Cross multiply
    9,916.32x = 13,677.36 × 8,421.88
  4. Step 4: Simplify right side
    9,916.32x = 115,189,084.64
  5. Step 5: Solve for x
    x = 115,189,084.64/9,916.32
  6. Step 6: Final answer
    x = 11,616.11

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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.