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Finding the Fourth Proportional to 4,655.34, 6,983.40 and 1,732.92

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Solution

The fourth proportional to 4,655.34, 6,983.40 and 1,732.92 is: 2,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.34 : 6,983.40 = 1,732.92 : x
  2. Step 2: Convert to fraction form
    4,655.34/6,983.40 = 1,732.92/x
  3. Step 3: Cross multiply
    4,655.34x = 6,983.40 × 1,732.92
  4. Step 4: Simplify right side
    4,655.34x = 12,101,673.53
  5. Step 5: Solve for x
    x = 12,101,673.53/4,655.34
  6. Step 6: Final answer
    x = 2,599.53

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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.