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Finding the Fourth Proportional to 9,854.91, 13,590.91 and 6,317.44

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Solution

The fourth proportional to 9,854.91, 13,590.91 and 6,317.44 is: 8,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.91 : 13,590.91 = 6,317.44 : x
  2. Step 2: Convert to fraction form
    9,854.91/13,590.91 = 6,317.44/x
  3. Step 3: Cross multiply
    9,854.91x = 13,590.91 × 6,317.44
  4. Step 4: Simplify right side
    9,854.91x = 85,859,758.47
  5. Step 5: Solve for x
    x = 85,859,758.47/9,854.91
  6. Step 6: Final answer
    x = 8,712.38

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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.