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Finding the Fourth Proportional to 9,141, 12,614.67 and 4,949.34

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Solution

The fourth proportional to 9,141, 12,614.67 and 4,949.34 is: 6,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141 : 12,614.67 = 4,949.34 : x
  2. Step 2: Convert to fraction form
    9,141/12,614.67 = 4,949.34/x
  3. Step 3: Cross multiply
    9,141x = 12,614.67 × 4,949.34
  4. Step 4: Simplify right side
    9,141x = 62,434,290.82
  5. Step 5: Solve for x
    x = 62,434,290.82/9,141
  6. Step 6: Final answer
    x = 6,830.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.