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Finding the Fourth Proportional to 12,754.40, 17,599.14 and 7,089.20

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Solution

The fourth proportional to 12,754.40, 17,599.14 and 7,089.20 is: 9,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.40 : 17,599.14 = 7,089.20 : x
  2. Step 2: Convert to fraction form
    12,754.40/17,599.14 = 7,089.20/x
  3. Step 3: Cross multiply
    12,754.40x = 17,599.14 × 7,089.20
  4. Step 4: Simplify right side
    12,754.40x = 124,763,823.29
  5. Step 5: Solve for x
    x = 124,763,823.29/12,754.40
  6. Step 6: Final answer
    x = 9,782.02

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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.