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Finding the Fourth Proportional to 10,616.68, 14,637.54 and 7,069.96

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Solution

The fourth proportional to 10,616.68, 14,637.54 and 7,069.96 is: 9,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.68 : 14,637.54 = 7,069.96 : x
  2. Step 2: Convert to fraction form
    10,616.68/14,637.54 = 7,069.96/x
  3. Step 3: Cross multiply
    10,616.68x = 14,637.54 × 7,069.96
  4. Step 4: Simplify right side
    10,616.68x = 103,486,822.30
  5. Step 5: Solve for x
    x = 103,486,822.30/10,616.68
  6. Step 6: Final answer
    x = 9,747.57

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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.