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Finding the Fourth Proportional to 4,547.80, 6,821.70 and 4,396.60

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Solution

The fourth proportional to 4,547.80, 6,821.70 and 4,396.60 is: 6,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.80 : 6,821.70 = 4,396.60 : x
  2. Step 2: Convert to fraction form
    4,547.80/6,821.70 = 4,396.60/x
  3. Step 3: Cross multiply
    4,547.80x = 6,821.70 × 4,396.60
  4. Step 4: Simplify right side
    4,547.80x = 29,992,286.22
  5. Step 5: Solve for x
    x = 29,992,286.22/4,547.80
  6. Step 6: Final answer
    x = 6,594.90

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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.