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Finding the Fourth Proportional to 4,144.59, 6,216.90 and 1,547.50

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Solution

The fourth proportional to 4,144.59, 6,216.90 and 1,547.50 is: 2,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.59 : 6,216.90 = 1,547.50 : x
  2. Step 2: Convert to fraction form
    4,144.59/6,216.90 = 1,547.50/x
  3. Step 3: Cross multiply
    4,144.59x = 6,216.90 × 1,547.50
  4. Step 4: Simplify right side
    4,144.59x = 9,620,652.75
  5. Step 5: Solve for x
    x = 9,620,652.75/4,144.59
  6. Step 6: Final answer
    x = 2,321.26

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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.