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Finding the Fourth Proportional to 10,574.88, 15,862.44 and 5,028.76

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Solution

The fourth proportional to 10,574.88, 15,862.44 and 5,028.76 is: 7,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.88 : 15,862.44 = 5,028.76 : x
  2. Step 2: Convert to fraction form
    10,574.88/15,862.44 = 5,028.76/x
  3. Step 3: Cross multiply
    10,574.88x = 15,862.44 × 5,028.76
  4. Step 4: Simplify right side
    10,574.88x = 79,768,403.77
  5. Step 5: Solve for x
    x = 79,768,403.77/10,574.88
  6. Step 6: Final answer
    x = 7,543.20

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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.