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Finding the Fourth Proportional to 5,102.60, 7,653.90 and 4,454.60

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Solution

The fourth proportional to 5,102.60, 7,653.90 and 4,454.60 is: 6,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.60 : 7,653.90 = 4,454.60 : x
  2. Step 2: Convert to fraction form
    5,102.60/7,653.90 = 4,454.60/x
  3. Step 3: Cross multiply
    5,102.60x = 7,653.90 × 4,454.60
  4. Step 4: Simplify right side
    5,102.60x = 34,095,062.94
  5. Step 5: Solve for x
    x = 34,095,062.94/5,102.60
  6. Step 6: Final answer
    x = 6,681.90

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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.