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Finding the Fourth Proportional to 10,466.76, 15,698.79 and 8,722.65

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Solution

The fourth proportional to 10,466.76, 15,698.79 and 8,722.65 is: 13,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.76 : 15,698.79 = 8,722.65 : x
  2. Step 2: Convert to fraction form
    10,466.76/15,698.79 = 8,722.65/x
  3. Step 3: Cross multiply
    10,466.76x = 15,698.79 × 8,722.65
  4. Step 4: Simplify right side
    10,466.76x = 136,935,050.59
  5. Step 5: Solve for x
    x = 136,935,050.59/10,466.76
  6. Step 6: Final answer
    x = 13,082.85

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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.