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Finding the Fourth Proportional to 7,691.46, 10,615.23 and 4,335

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Solution

The fourth proportional to 7,691.46, 10,615.23 and 4,335 is: 5,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.46 : 10,615.23 = 4,335 : x
  2. Step 2: Convert to fraction form
    7,691.46/10,615.23 = 4,335/x
  3. Step 3: Cross multiply
    7,691.46x = 10,615.23 × 4,335
  4. Step 4: Simplify right side
    7,691.46x = 46,017,022.05
  5. Step 5: Solve for x
    x = 46,017,022.05/7,691.46
  6. Step 6: Final answer
    x = 5,982.87

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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.