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Finding the Fourth Proportional to 9,869.66, 14,804.46 and 2,474.10

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Solution

The fourth proportional to 9,869.66, 14,804.46 and 2,474.10 is: 3,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.66 : 14,804.46 = 2,474.10 : x
  2. Step 2: Convert to fraction form
    9,869.66/14,804.46 = 2,474.10/x
  3. Step 3: Cross multiply
    9,869.66x = 14,804.46 × 2,474.10
  4. Step 4: Simplify right side
    9,869.66x = 36,627,714.49
  5. Step 5: Solve for x
    x = 36,627,714.49/9,869.66
  6. Step 6: Final answer
    x = 3,711.14

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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.