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Finding the Fourth Proportional to 9,732.66, 14,595.92 and 3,157.32

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Solution

The fourth proportional to 9,732.66, 14,595.92 and 3,157.32 is: 4,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.66 : 14,595.92 = 3,157.32 : x
  2. Step 2: Convert to fraction form
    9,732.66/14,595.92 = 3,157.32/x
  3. Step 3: Cross multiply
    9,732.66x = 14,595.92 × 3,157.32
  4. Step 4: Simplify right side
    9,732.66x = 46,083,990.13
  5. Step 5: Solve for x
    x = 46,083,990.13/9,732.66
  6. Step 6: Final answer
    x = 4,734.98

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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.