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Finding the Fourth Proportional to 10,654.68, 14,703.12 and 6,677.94

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Solution

The fourth proportional to 10,654.68, 14,703.12 and 6,677.94 is: 9,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.68 : 14,703.12 = 6,677.94 : x
  2. Step 2: Convert to fraction form
    10,654.68/14,703.12 = 6,677.94/x
  3. Step 3: Cross multiply
    10,654.68x = 14,703.12 × 6,677.94
  4. Step 4: Simplify right side
    10,654.68x = 98,186,553.17
  5. Step 5: Solve for x
    x = 98,186,553.17/10,654.68
  6. Step 6: Final answer
    x = 9,215.35

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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.