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Finding the Fourth Proportional to 8,277.60, 11,623.20 and 8,277.60

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Solution

The fourth proportional to 8,277.60, 11,623.20 and 8,277.60 is: 11,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.60 : 11,623.20 = 8,277.60 : x
  2. Step 2: Convert to fraction form
    8,277.60/11,623.20 = 8,277.60/x
  3. Step 3: Cross multiply
    8,277.60x = 11,623.20 × 8,277.60
  4. Step 4: Simplify right side
    8,277.60x = 96,212,200.32
  5. Step 5: Solve for x
    x = 96,212,200.32/8,277.60
  6. Step 6: Final answer
    x = 11,623.20

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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.