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Finding the Fourth Proportional to 10,394.54, 14,344.62 and 7,374.98

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Solution

The fourth proportional to 10,394.54, 14,344.62 and 7,374.98 is: 10,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.54 : 14,344.62 = 7,374.98 : x
  2. Step 2: Convert to fraction form
    10,394.54/14,344.62 = 7,374.98/x
  3. Step 3: Cross multiply
    10,394.54x = 14,344.62 × 7,374.98
  4. Step 4: Simplify right side
    10,394.54x = 105,791,285.61
  5. Step 5: Solve for x
    x = 105,791,285.61/10,394.54
  6. Step 6: Final answer
    x = 10,177.58

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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.