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Finding the Fourth Proportional to 10,593.84, 14,616.12 and 6,117

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Solution

The fourth proportional to 10,593.84, 14,616.12 and 6,117 is: 8,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.84 : 14,616.12 = 6,117 : x
  2. Step 2: Convert to fraction form
    10,593.84/14,616.12 = 6,117/x
  3. Step 3: Cross multiply
    10,593.84x = 14,616.12 × 6,117
  4. Step 4: Simplify right side
    10,593.84x = 89,406,806.04
  5. Step 5: Solve for x
    x = 89,406,806.04/10,593.84
  6. Step 6: Final answer
    x = 8,439.51

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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.