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Finding the Fourth Proportional to 9,109.76, 13,664.63 and 2,870.73

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Solution

The fourth proportional to 9,109.76, 13,664.63 and 2,870.73 is: 4,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.76 : 13,664.63 = 2,870.73 : x
  2. Step 2: Convert to fraction form
    9,109.76/13,664.63 = 2,870.73/x
  3. Step 3: Cross multiply
    9,109.76x = 13,664.63 × 2,870.73
  4. Step 4: Simplify right side
    9,109.76x = 39,227,470.46
  5. Step 5: Solve for x
    x = 39,227,470.46/9,109.76
  6. Step 6: Final answer
    x = 4,306.10

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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.