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Finding the Fourth Proportional to 7,652.73, 11,478.01 and 2,457.93

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Solution

The fourth proportional to 7,652.73, 11,478.01 and 2,457.93 is: 3,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.73 : 11,478.01 = 2,457.93 : x
  2. Step 2: Convert to fraction form
    7,652.73/11,478.01 = 2,457.93/x
  3. Step 3: Cross multiply
    7,652.73x = 11,478.01 × 2,457.93
  4. Step 4: Simplify right side
    7,652.73x = 28,212,138.97
  5. Step 5: Solve for x
    x = 28,212,138.97/7,652.73
  6. Step 6: Final answer
    x = 3,686.55

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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.