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Finding the Fourth Proportional to 7,641, 10,544.99 and 4,498.20

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Solution

The fourth proportional to 7,641, 10,544.99 and 4,498.20 is: 6,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641 : 10,544.99 = 4,498.20 : x
  2. Step 2: Convert to fraction form
    7,641/10,544.99 = 4,498.20/x
  3. Step 3: Cross multiply
    7,641x = 10,544.99 × 4,498.20
  4. Step 4: Simplify right side
    7,641x = 47,433,451.53
  5. Step 5: Solve for x
    x = 47,433,451.53/7,641
  6. Step 6: Final answer
    x = 6,207.75

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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.