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Finding the Fourth Proportional to 6,500.76, 8,975.14 and 5,005.86

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Solution

The fourth proportional to 6,500.76, 8,975.14 and 5,005.86 is: 6,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.76 : 8,975.14 = 5,005.86 : x
  2. Step 2: Convert to fraction form
    6,500.76/8,975.14 = 5,005.86/x
  3. Step 3: Cross multiply
    6,500.76x = 8,975.14 × 5,005.86
  4. Step 4: Simplify right side
    6,500.76x = 44,928,294.32
  5. Step 5: Solve for x
    x = 44,928,294.32/6,500.76
  6. Step 6: Final answer
    x = 6,911.24

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Double scale
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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.