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Finding the Fourth Proportional to 4,925.80, 6,546.13 and 4,925.80

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Solution

The fourth proportional to 4,925.80, 6,546.13 and 4,925.80 is: 6,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.80 : 6,546.13 = 4,925.80 : x
  2. Step 2: Convert to fraction form
    4,925.80/6,546.13 = 4,925.80/x
  3. Step 3: Cross multiply
    4,925.80x = 6,546.13 × 4,925.80
  4. Step 4: Simplify right side
    4,925.80x = 32,244,927.15
  5. Step 5: Solve for x
    x = 32,244,927.15/4,925.80
  6. Step 6: Final answer
    x = 6,546.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.