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Finding the Fourth Proportional to 5,149.58, 7,760.63 and 4,656.53

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Solution

The fourth proportional to 5,149.58, 7,760.63 and 4,656.53 is: 7,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.58 : 7,760.63 = 4,656.53 : x
  2. Step 2: Convert to fraction form
    5,149.58/7,760.63 = 4,656.53/x
  3. Step 3: Cross multiply
    5,149.58x = 7,760.63 × 4,656.53
  4. Step 4: Simplify right side
    5,149.58x = 36,137,637.46
  5. Step 5: Solve for x
    x = 36,137,637.46/5,149.58
  6. Step 6: Final answer
    x = 7,017.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.