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Finding the Fourth Proportional to 10,117, 15,178.20 and 3,191.50

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Solution

The fourth proportional to 10,117, 15,178.20 and 3,191.50 is: 4,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117 : 15,178.20 = 3,191.50 : x
  2. Step 2: Convert to fraction form
    10,117/15,178.20 = 3,191.50/x
  3. Step 3: Cross multiply
    10,117x = 15,178.20 × 3,191.50
  4. Step 4: Simplify right side
    10,117x = 48,441,225.30
  5. Step 5: Solve for x
    x = 48,441,225.30/10,117
  6. Step 6: Final answer
    x = 4,788.10

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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.