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Finding the Fourth Proportional to 10,578.80, 15,868.20 and 9,558.20

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Solution

The fourth proportional to 10,578.80, 15,868.20 and 9,558.20 is: 14,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.80 : 15,868.20 = 9,558.20 : x
  2. Step 2: Convert to fraction form
    10,578.80/15,868.20 = 9,558.20/x
  3. Step 3: Cross multiply
    10,578.80x = 15,868.20 × 9,558.20
  4. Step 4: Simplify right side
    10,578.80x = 151,671,429.24
  5. Step 5: Solve for x
    x = 151,671,429.24/10,578.80
  6. Step 6: Final answer
    x = 14,337.30

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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.