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Finding the Fourth Proportional to 4,671.75, 6,447.03 and 2,547.30

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Solution

The fourth proportional to 4,671.75, 6,447.03 and 2,547.30 is: 3,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.75 : 6,447.03 = 2,547.30 : x
  2. Step 2: Convert to fraction form
    4,671.75/6,447.03 = 2,547.30/x
  3. Step 3: Cross multiply
    4,671.75x = 6,447.03 × 2,547.30
  4. Step 4: Simplify right side
    4,671.75x = 16,422,519.52
  5. Step 5: Solve for x
    x = 16,422,519.52/4,671.75
  6. Step 6: Final answer
    x = 3,515.28

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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.