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Finding the Fourth Proportional to 4,657.92, 6,996.48 and 4,502.40

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Solution

The fourth proportional to 4,657.92, 6,996.48 and 4,502.40 is: 6,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.92 : 6,996.48 = 4,502.40 : x
  2. Step 2: Convert to fraction form
    4,657.92/6,996.48 = 4,502.40/x
  3. Step 3: Cross multiply
    4,657.92x = 6,996.48 × 4,502.40
  4. Step 4: Simplify right side
    4,657.92x = 31,500,951.55
  5. Step 5: Solve for x
    x = 31,500,951.55/4,657.92
  6. Step 6: Final answer
    x = 6,762.88

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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.