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Finding the Fourth Proportional to 9,148.80, 13,723.20 and 4,531.20

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Solution

The fourth proportional to 9,148.80, 13,723.20 and 4,531.20 is: 6,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.80 : 13,723.20 = 4,531.20 : x
  2. Step 2: Convert to fraction form
    9,148.80/13,723.20 = 4,531.20/x
  3. Step 3: Cross multiply
    9,148.80x = 13,723.20 × 4,531.20
  4. Step 4: Simplify right side
    9,148.80x = 62,182,563.84
  5. Step 5: Solve for x
    x = 62,182,563.84/9,148.80
  6. Step 6: Final answer
    x = 6,796.80

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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.