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Finding the Fourth Proportional to 9,232.30, 13,848.36 and 7,374.70

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Solution

The fourth proportional to 9,232.30, 13,848.36 and 7,374.70 is: 11,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.30 : 13,848.36 = 7,374.70 : x
  2. Step 2: Convert to fraction form
    9,232.30/13,848.36 = 7,374.70/x
  3. Step 3: Cross multiply
    9,232.30x = 13,848.36 × 7,374.70
  4. Step 4: Simplify right side
    9,232.30x = 102,127,500.49
  5. Step 5: Solve for x
    x = 102,127,500.49/9,232.30
  6. Step 6: Final answer
    x = 11,061.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.