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Finding the Fourth Proportional to 4,502.08, 6,752.04 and 1,424.08

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Solution

The fourth proportional to 4,502.08, 6,752.04 and 1,424.08 is: 2,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.08 : 6,752.04 = 1,424.08 : x
  2. Step 2: Convert to fraction form
    4,502.08/6,752.04 = 1,424.08/x
  3. Step 3: Cross multiply
    4,502.08x = 6,752.04 × 1,424.08
  4. Step 4: Simplify right side
    4,502.08x = 9,615,445.12
  5. Step 5: Solve for x
    x = 9,615,445.12/4,502.08
  6. Step 6: Final answer
    x = 2,135.78

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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.