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Finding the Fourth Proportional to 7,065.50, 10,598.25 and 2,201.50

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Solution

The fourth proportional to 7,065.50, 10,598.25 and 2,201.50 is: 3,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.50 : 10,598.25 = 2,201.50 : x
  2. Step 2: Convert to fraction form
    7,065.50/10,598.25 = 2,201.50/x
  3. Step 3: Cross multiply
    7,065.50x = 10,598.25 × 2,201.50
  4. Step 4: Simplify right side
    7,065.50x = 23,332,047.38
  5. Step 5: Solve for x
    x = 23,332,047.38/7,065.50
  6. Step 6: Final answer
    x = 3,302.25

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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.