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Finding the Fourth Proportional to 5,443.16, 7,508.22 and 4,746.20

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Solution

The fourth proportional to 5,443.16, 7,508.22 and 4,746.20 is: 6,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.16 : 7,508.22 = 4,746.20 : x
  2. Step 2: Convert to fraction form
    5,443.16/7,508.22 = 4,746.20/x
  3. Step 3: Cross multiply
    5,443.16x = 7,508.22 × 4,746.20
  4. Step 4: Simplify right side
    5,443.16x = 35,635,513.76
  5. Step 5: Solve for x
    x = 35,635,513.76/5,443.16
  6. Step 6: Final answer
    x = 6,546.84

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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.