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Finding the Fourth Proportional to 22,764.16, 34,146.08 and 6,348.16

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Solution

The fourth proportional to 22,764.16, 34,146.08 and 6,348.16 is: 9,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.16 : 34,146.08 = 6,348.16 : x
  2. Step 2: Convert to fraction form
    22,764.16/34,146.08 = 6,348.16/x
  3. Step 3: Cross multiply
    22,764.16x = 34,146.08 × 6,348.16
  4. Step 4: Simplify right side
    22,764.16x = 216,764,779.21
  5. Step 5: Solve for x
    x = 216,764,779.21/22,764.16
  6. Step 6: Final answer
    x = 9,522.20

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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.