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Finding the Fourth Proportional to 8,227.60, 11,547.80 and 8,227.60

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Solution

The fourth proportional to 8,227.60, 11,547.80 and 8,227.60 is: 11,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.60 : 11,547.80 = 8,227.60 : x
  2. Step 2: Convert to fraction form
    8,227.60/11,547.80 = 8,227.60/x
  3. Step 3: Cross multiply
    8,227.60x = 11,547.80 × 8,227.60
  4. Step 4: Simplify right side
    8,227.60x = 95,010,679.28
  5. Step 5: Solve for x
    x = 95,010,679.28/8,227.60
  6. Step 6: Final answer
    x = 11,547.80

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.