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Finding the Fourth Proportional to 6,487.91, 9,722.64 and 5,001.50

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Solution

The fourth proportional to 6,487.91, 9,722.64 and 5,001.50 is: 7,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.91 : 9,722.64 = 5,001.50 : x
  2. Step 2: Convert to fraction form
    6,487.91/9,722.64 = 5,001.50/x
  3. Step 3: Cross multiply
    6,487.91x = 9,722.64 × 5,001.50
  4. Step 4: Simplify right side
    6,487.91x = 48,627,783.96
  5. Step 5: Solve for x
    x = 48,627,783.96/6,487.91
  6. Step 6: Final answer
    x = 7,495.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.