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Finding the Fourth Proportional to 10,064.80, 15,068.40 and 6,176.80

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Solution

The fourth proportional to 10,064.80, 15,068.40 and 6,176.80 is: 9,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.80 : 15,068.40 = 6,176.80 : x
  2. Step 2: Convert to fraction form
    10,064.80/15,068.40 = 6,176.80/x
  3. Step 3: Cross multiply
    10,064.80x = 15,068.40 × 6,176.80
  4. Step 4: Simplify right side
    10,064.80x = 93,074,493.12
  5. Step 5: Solve for x
    x = 93,074,493.12/10,064.80
  6. Step 6: Final answer
    x = 9,247.53

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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.