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Finding the Fourth Proportional to 9,295.56, 13,932 and 7,113.42

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Solution

The fourth proportional to 9,295.56, 13,932 and 7,113.42 is: 10,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.56 : 13,932 = 7,113.42 : x
  2. Step 2: Convert to fraction form
    9,295.56/13,932 = 7,113.42/x
  3. Step 3: Cross multiply
    9,295.56x = 13,932 × 7,113.42
  4. Step 4: Simplify right side
    9,295.56x = 99,104,167.44
  5. Step 5: Solve for x
    x = 99,104,167.44/9,295.56
  6. Step 6: Final answer
    x = 10,661.45

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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.