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Finding the Fourth Proportional to 12,501.60, 18,750.87 and 7,822.02

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Solution

The fourth proportional to 12,501.60, 18,750.87 and 7,822.02 is: 11,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.60 : 18,750.87 = 7,822.02 : x
  2. Step 2: Convert to fraction form
    12,501.60/18,750.87 = 7,822.02/x
  3. Step 3: Cross multiply
    12,501.60x = 18,750.87 × 7,822.02
  4. Step 4: Simplify right side
    12,501.60x = 146,669,680.16
  5. Step 5: Solve for x
    x = 146,669,680.16/12,501.60
  6. Step 6: Final answer
    x = 11,732.07

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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.