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Finding the Fourth Proportional to 6,575.92, 9,868.74 and 2,418.50

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Solution

The fourth proportional to 6,575.92, 9,868.74 and 2,418.50 is: 3,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.92 : 9,868.74 = 2,418.50 : x
  2. Step 2: Convert to fraction form
    6,575.92/9,868.74 = 2,418.50/x
  3. Step 3: Cross multiply
    6,575.92x = 9,868.74 × 2,418.50
  4. Step 4: Simplify right side
    6,575.92x = 23,867,547.69
  5. Step 5: Solve for x
    x = 23,867,547.69/6,575.92
  6. Step 6: Final answer
    x = 3,629.54

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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.