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Finding the Fourth Proportional to 12,527.67, 17,290.08 and 7,150.08

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Solution

The fourth proportional to 12,527.67, 17,290.08 and 7,150.08 is: 9,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.67 : 17,290.08 = 7,150.08 : x
  2. Step 2: Convert to fraction form
    12,527.67/17,290.08 = 7,150.08/x
  3. Step 3: Cross multiply
    12,527.67x = 17,290.08 × 7,150.08
  4. Step 4: Simplify right side
    12,527.67x = 123,625,455.21
  5. Step 5: Solve for x
    x = 123,625,455.21/12,527.67
  6. Step 6: Final answer
    x = 9,868.19

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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.