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Finding the Fourth Proportional to 9,761.64, 14,642.34 and 2,366.17

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Solution

The fourth proportional to 9,761.64, 14,642.34 and 2,366.17 is: 3,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.64 : 14,642.34 = 2,366.17 : x
  2. Step 2: Convert to fraction form
    9,761.64/14,642.34 = 2,366.17/x
  3. Step 3: Cross multiply
    9,761.64x = 14,642.34 × 2,366.17
  4. Step 4: Simplify right side
    9,761.64x = 34,646,220.16
  5. Step 5: Solve for x
    x = 34,646,220.16/9,761.64
  6. Step 6: Final answer
    x = 3,549.22

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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.