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Finding the Fourth Proportional to 6,400.68, 9,597.06 and 2,500.50

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Solution

The fourth proportional to 6,400.68, 9,597.06 and 2,500.50 is: 3,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.68 : 9,597.06 = 2,500.50 : x
  2. Step 2: Convert to fraction form
    6,400.68/9,597.06 = 2,500.50/x
  3. Step 3: Cross multiply
    6,400.68x = 9,597.06 × 2,500.50
  4. Step 4: Simplify right side
    6,400.68x = 23,997,448.53
  5. Step 5: Solve for x
    x = 23,997,448.53/6,400.68
  6. Step 6: Final answer
    x = 3,749.20

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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.