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Finding the Fourth Proportional to 10,658.40, 14,678.19 and 10,429.44

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Solution

The fourth proportional to 10,658.40, 14,678.19 and 10,429.44 is: 14,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.40 : 14,678.19 = 10,429.44 : x
  2. Step 2: Convert to fraction form
    10,658.40/14,678.19 = 10,429.44/x
  3. Step 3: Cross multiply
    10,658.40x = 14,678.19 × 10,429.44
  4. Step 4: Simplify right side
    10,658.40x = 153,085,301.91
  5. Step 5: Solve for x
    x = 153,085,301.91/10,658.40
  6. Step 6: Final answer
    x = 14,362.88

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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.