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Finding the Fourth Proportional to 10,574.16, 14,589.72 and 6,846

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Solution

The fourth proportional to 10,574.16, 14,589.72 and 6,846 is: 9,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.16 : 14,589.72 = 6,846 : x
  2. Step 2: Convert to fraction form
    10,574.16/14,589.72 = 6,846/x
  3. Step 3: Cross multiply
    10,574.16x = 14,589.72 × 6,846
  4. Step 4: Simplify right side
    10,574.16x = 99,881,223.12
  5. Step 5: Solve for x
    x = 99,881,223.12/10,574.16
  6. Step 6: Final answer
    x = 9,445.78

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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.