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Finding the Fourth Proportional to 8,509.15, 11,742.07 and 4,732.24

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Solution

The fourth proportional to 8,509.15, 11,742.07 and 4,732.24 is: 6,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.15 : 11,742.07 = 4,732.24 : x
  2. Step 2: Convert to fraction form
    8,509.15/11,742.07 = 4,732.24/x
  3. Step 3: Cross multiply
    8,509.15x = 11,742.07 × 4,732.24
  4. Step 4: Simplify right side
    8,509.15x = 55,566,293.34
  5. Step 5: Solve for x
    x = 55,566,293.34/8,509.15
  6. Step 6: Final answer
    x = 6,530.18

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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.