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Finding the Fourth Proportional to 12,697.65, 17,523.10 and 7,032.90

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Solution

The fourth proportional to 12,697.65, 17,523.10 and 7,032.90 is: 9,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.65 : 17,523.10 = 7,032.90 : x
  2. Step 2: Convert to fraction form
    12,697.65/17,523.10 = 7,032.90/x
  3. Step 3: Cross multiply
    12,697.65x = 17,523.10 × 7,032.90
  4. Step 4: Simplify right side
    12,697.65x = 123,238,209.99
  5. Step 5: Solve for x
    x = 123,238,209.99/12,697.65
  6. Step 6: Final answer
    x = 9,705.59

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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.