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Finding the Fourth Proportional to 9,266.01, 13,882.74 and 7,715.98

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Solution

The fourth proportional to 9,266.01, 13,882.74 and 7,715.98 is: 11,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.01 : 13,882.74 = 7,715.98 : x
  2. Step 2: Convert to fraction form
    9,266.01/13,882.74 = 7,715.98/x
  3. Step 3: Cross multiply
    9,266.01x = 13,882.74 × 7,715.98
  4. Step 4: Simplify right side
    9,266.01x = 107,118,944.19
  5. Step 5: Solve for x
    x = 107,118,944.19/9,266.01
  6. Step 6: Final answer
    x = 11,560.42

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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.