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Finding the Fourth Proportional to 12,574.80, 17,352.42 and 7,539.42

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Solution

The fourth proportional to 12,574.80, 17,352.42 and 7,539.42 is: 10,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.80 : 17,352.42 = 7,539.42 : x
  2. Step 2: Convert to fraction form
    12,574.80/17,352.42 = 7,539.42/x
  3. Step 3: Cross multiply
    12,574.80x = 17,352.42 × 7,539.42
  4. Step 4: Simplify right side
    12,574.80x = 130,827,182.40
  5. Step 5: Solve for x
    x = 130,827,182.40/12,574.80
  6. Step 6: Final answer
    x = 10,403.92

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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.