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Finding the Fourth Proportional to 9,244.80, 13,848.96 and 7,509.12

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Solution

The fourth proportional to 9,244.80, 13,848.96 and 7,509.12 is: 11,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.80 : 13,848.96 = 7,509.12 : x
  2. Step 2: Convert to fraction form
    9,244.80/13,848.96 = 7,509.12/x
  3. Step 3: Cross multiply
    9,244.80x = 13,848.96 × 7,509.12
  4. Step 4: Simplify right side
    9,244.80x = 103,993,502.52
  5. Step 5: Solve for x
    x = 103,993,502.52/9,244.80
  6. Step 6: Final answer
    x = 11,248.86

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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.