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Finding the Fourth Proportional to 7,205.10, 9,927.81 and 5,526.24

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Solution

The fourth proportional to 7,205.10, 9,927.81 and 5,526.24 is: 7,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.10 : 9,927.81 = 5,526.24 : x
  2. Step 2: Convert to fraction form
    7,205.10/9,927.81 = 5,526.24/x
  3. Step 3: Cross multiply
    7,205.10x = 9,927.81 × 5,526.24
  4. Step 4: Simplify right side
    7,205.10x = 54,863,460.73
  5. Step 5: Solve for x
    x = 54,863,460.73/7,205.10
  6. Step 6: Final answer
    x = 7,614.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.