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Finding the Fourth Proportional to 23,689.63, 35,534.11 and 7,049.75

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Solution

The fourth proportional to 23,689.63, 35,534.11 and 7,049.75 is: 10,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.63 : 35,534.11 = 7,049.75 : x
  2. Step 2: Convert to fraction form
    23,689.63/35,534.11 = 7,049.75/x
  3. Step 3: Cross multiply
    23,689.63x = 35,534.11 × 7,049.75
  4. Step 4: Simplify right side
    23,689.63x = 250,506,609.78
  5. Step 5: Solve for x
    x = 250,506,609.78/23,689.63
  6. Step 6: Final answer
    x = 10,574.53

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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.