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Finding the Fourth Proportional to 6,159.75, 9,239.63 and 1,542.75

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Solution

The fourth proportional to 6,159.75, 9,239.63 and 1,542.75 is: 2,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.75 : 9,239.63 = 1,542.75 : x
  2. Step 2: Convert to fraction form
    6,159.75/9,239.63 = 1,542.75/x
  3. Step 3: Cross multiply
    6,159.75x = 9,239.63 × 1,542.75
  4. Step 4: Simplify right side
    6,159.75x = 14,254,431.47
  5. Step 5: Solve for x
    x = 14,254,431.47/6,159.75
  6. Step 6: Final answer
    x = 2,314.13

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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.