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Finding the Fourth Proportional to 10,282, 14,182.78 and 7,590.47

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Solution

The fourth proportional to 10,282, 14,182.78 and 7,590.47 is: 10,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282 : 14,182.78 = 7,590.47 : x
  2. Step 2: Convert to fraction form
    10,282/14,182.78 = 7,590.47/x
  3. Step 3: Cross multiply
    10,282x = 14,182.78 × 7,590.47
  4. Step 4: Simplify right side
    10,282x = 107,653,966.11
  5. Step 5: Solve for x
    x = 107,653,966.11/10,282
  6. Step 6: Final answer
    x = 10,470.14

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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.