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Finding the Fourth Proportional to 4,546.40, 6,821.20 and 4,386.40

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Solution

The fourth proportional to 4,546.40, 6,821.20 and 4,386.40 is: 6,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.40 : 6,821.20 = 4,386.40 : x
  2. Step 2: Convert to fraction form
    4,546.40/6,821.20 = 4,386.40/x
  3. Step 3: Cross multiply
    4,546.40x = 6,821.20 × 4,386.40
  4. Step 4: Simplify right side
    4,546.40x = 29,920,511.68
  5. Step 5: Solve for x
    x = 29,920,511.68/4,546.40
  6. Step 6: Final answer
    x = 6,581.14

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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.