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Finding the Fourth Proportional to 9,802.68, 14,704.23 and 2,877.18

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Solution

The fourth proportional to 9,802.68, 14,704.23 and 2,877.18 is: 4,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.68 : 14,704.23 = 2,877.18 : x
  2. Step 2: Convert to fraction form
    9,802.68/14,704.23 = 2,877.18/x
  3. Step 3: Cross multiply
    9,802.68x = 14,704.23 × 2,877.18
  4. Step 4: Simplify right side
    9,802.68x = 42,306,716.47
  5. Step 5: Solve for x
    x = 42,306,716.47/9,802.68
  6. Step 6: Final answer
    x = 4,315.83

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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.