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Finding the Fourth Proportional to 11,295.88, 15,586.50 and 7,101.16

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Solution

The fourth proportional to 11,295.88, 15,586.50 and 7,101.16 is: 9,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.88 : 15,586.50 = 7,101.16 : x
  2. Step 2: Convert to fraction form
    11,295.88/15,586.50 = 7,101.16/x
  3. Step 3: Cross multiply
    11,295.88x = 15,586.50 × 7,101.16
  4. Step 4: Simplify right side
    11,295.88x = 110,682,230.34
  5. Step 5: Solve for x
    x = 110,682,230.34/11,295.88
  6. Step 6: Final answer
    x = 9,798.46

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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.