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Finding the Fourth Proportional to 8,242.03, 11,373.34 and 4,657.30

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Solution

The fourth proportional to 8,242.03, 11,373.34 and 4,657.30 is: 6,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.03 : 11,373.34 = 4,657.30 : x
  2. Step 2: Convert to fraction form
    8,242.03/11,373.34 = 4,657.30/x
  3. Step 3: Cross multiply
    8,242.03x = 11,373.34 × 4,657.30
  4. Step 4: Simplify right side
    8,242.03x = 52,969,011.94
  5. Step 5: Solve for x
    x = 52,969,011.94/8,242.03
  6. Step 6: Final answer
    x = 6,426.70

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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.