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Finding the Fourth Proportional to 4,652.12, 6,401.16 and 4,541.40

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Solution

The fourth proportional to 4,652.12, 6,401.16 and 4,541.40 is: 6,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.12 : 6,401.16 = 4,541.40 : x
  2. Step 2: Convert to fraction form
    4,652.12/6,401.16 = 4,541.40/x
  3. Step 3: Cross multiply
    4,652.12x = 6,401.16 × 4,541.40
  4. Step 4: Simplify right side
    4,652.12x = 29,070,200.67
  5. Step 5: Solve for x
    x = 29,070,200.67/4,652.12
  6. Step 6: Final answer
    x = 6,248.81

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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.