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Finding the Fourth Proportional to 10,694.13, 14,761.95 and 9,573.04

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Solution

The fourth proportional to 10,694.13, 14,761.95 and 9,573.04 is: 13,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.13 : 14,761.95 = 9,573.04 : x
  2. Step 2: Convert to fraction form
    10,694.13/14,761.95 = 9,573.04/x
  3. Step 3: Cross multiply
    10,694.13x = 14,761.95 × 9,573.04
  4. Step 4: Simplify right side
    10,694.13x = 141,316,637.35
  5. Step 5: Solve for x
    x = 141,316,637.35/10,694.13
  6. Step 6: Final answer
    x = 13,214.42

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1.5x scale

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.