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Finding the Fourth Proportional to 12,765.16, 19,147.76 and 4,000.76

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Solution

The fourth proportional to 12,765.16, 19,147.76 and 4,000.76 is: 6,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.16 : 19,147.76 = 4,000.76 : x
  2. Step 2: Convert to fraction form
    12,765.16/19,147.76 = 4,000.76/x
  3. Step 3: Cross multiply
    12,765.16x = 19,147.76 × 4,000.76
  4. Step 4: Simplify right side
    12,765.16x = 76,605,592.30
  5. Step 5: Solve for x
    x = 76,605,592.30/12,765.16
  6. Step 6: Final answer
    x = 6,001.15

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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.