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Finding the Fourth Proportional to 9,032.58, 13,514.85 and 5,827.41

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Solution

The fourth proportional to 9,032.58, 13,514.85 and 5,827.41 is: 8,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.58 : 13,514.85 = 5,827.41 : x
  2. Step 2: Convert to fraction form
    9,032.58/13,514.85 = 5,827.41/x
  3. Step 3: Cross multiply
    9,032.58x = 13,514.85 × 5,827.41
  4. Step 4: Simplify right side
    9,032.58x = 78,756,572.04
  5. Step 5: Solve for x
    x = 78,756,572.04/9,032.58
  6. Step 6: Final answer
    x = 8,719.17

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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.