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Finding the Fourth Proportional to 9,594.63, 13,214.12 and 8,267.85

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Solution

The fourth proportional to 9,594.63, 13,214.12 and 8,267.85 is: 11,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.63 : 13,214.12 = 8,267.85 : x
  2. Step 2: Convert to fraction form
    9,594.63/13,214.12 = 8,267.85/x
  3. Step 3: Cross multiply
    9,594.63x = 13,214.12 × 8,267.85
  4. Step 4: Simplify right side
    9,594.63x = 109,252,320.70
  5. Step 5: Solve for x
    x = 109,252,320.70/9,594.63
  6. Step 6: Final answer
    x = 11,386.82

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Double scale
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Similar ratio
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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.