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Finding the Fourth Proportional to 7,234.64, 9,981.12 and 4,088.48

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Solution

The fourth proportional to 7,234.64, 9,981.12 and 4,088.48 is: 5,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.64 : 9,981.12 = 4,088.48 : x
  2. Step 2: Convert to fraction form
    7,234.64/9,981.12 = 4,088.48/x
  3. Step 3: Cross multiply
    7,234.64x = 9,981.12 × 4,088.48
  4. Step 4: Simplify right side
    7,234.64x = 40,807,609.50
  5. Step 5: Solve for x
    x = 40,807,609.50/7,234.64
  6. Step 6: Final answer
    x = 5,640.59

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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.