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Finding the Fourth Proportional to 7,239.64, 9,983.54 and 4,407.40

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Solution

The fourth proportional to 7,239.64, 9,983.54 and 4,407.40 is: 6,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.64 : 9,983.54 = 4,407.40 : x
  2. Step 2: Convert to fraction form
    7,239.64/9,983.54 = 4,407.40/x
  3. Step 3: Cross multiply
    7,239.64x = 9,983.54 × 4,407.40
  4. Step 4: Simplify right side
    7,239.64x = 44,001,454.20
  5. Step 5: Solve for x
    x = 44,001,454.20/7,239.64
  6. Step 6: Final answer
    x = 6,077.85

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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.