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Finding the Fourth Proportional to 11,689.76, 17,534.16 and 2,924.48

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Solution

The fourth proportional to 11,689.76, 17,534.16 and 2,924.48 is: 4,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.76 : 17,534.16 = 2,924.48 : x
  2. Step 2: Convert to fraction form
    11,689.76/17,534.16 = 2,924.48/x
  3. Step 3: Cross multiply
    11,689.76x = 17,534.16 × 2,924.48
  4. Step 4: Simplify right side
    11,689.76x = 51,278,300.24
  5. Step 5: Solve for x
    x = 51,278,300.24/11,689.76
  6. Step 6: Final answer
    x = 4,386.60

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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.