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Finding the Fourth Proportional to 4,643.52, 6,408.04 and 2,547.68

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Solution

The fourth proportional to 4,643.52, 6,408.04 and 2,547.68 is: 3,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.52 : 6,408.04 = 2,547.68 : x
  2. Step 2: Convert to fraction form
    4,643.52/6,408.04 = 2,547.68/x
  3. Step 3: Cross multiply
    4,643.52x = 6,408.04 × 2,547.68
  4. Step 4: Simplify right side
    4,643.52x = 16,325,635.35
  5. Step 5: Solve for x
    x = 16,325,635.35/4,643.52
  6. Step 6: Final answer
    x = 3,515.79

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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.