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Finding the Fourth Proportional to 10,616.80, 14,654.64 and 7,473.76

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Solution

The fourth proportional to 10,616.80, 14,654.64 and 7,473.76 is: 10,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.80 : 14,654.64 = 7,473.76 : x
  2. Step 2: Convert to fraction form
    10,616.80/14,654.64 = 7,473.76/x
  3. Step 3: Cross multiply
    10,616.80x = 14,654.64 × 7,473.76
  4. Step 4: Simplify right side
    10,616.80x = 109,525,262.25
  5. Step 5: Solve for x
    x = 109,525,262.25/10,616.80
  6. Step 6: Final answer
    x = 10,316.22

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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.