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Finding the Fourth Proportional to 9,552.66, 14,302.67 and 7,205.56

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Solution

The fourth proportional to 9,552.66, 14,302.67 and 7,205.56 is: 10,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.66 : 14,302.67 = 7,205.56 : x
  2. Step 2: Convert to fraction form
    9,552.66/14,302.67 = 7,205.56/x
  3. Step 3: Cross multiply
    9,552.66x = 14,302.67 × 7,205.56
  4. Step 4: Simplify right side
    9,552.66x = 103,058,710.82
  5. Step 5: Solve for x
    x = 103,058,710.82/9,552.66
  6. Step 6: Final answer
    x = 10,788.48

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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.