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Finding the Fourth Proportional to 10,752.51, 14,843.34 and 7,217.67

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Solution

The fourth proportional to 10,752.51, 14,843.34 and 7,217.67 is: 9,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.51 : 14,843.34 = 7,217.67 : x
  2. Step 2: Convert to fraction form
    10,752.51/14,843.34 = 7,217.67/x
  3. Step 3: Cross multiply
    10,752.51x = 14,843.34 × 7,217.67
  4. Step 4: Simplify right side
    10,752.51x = 107,134,329.82
  5. Step 5: Solve for x
    x = 107,134,329.82/10,752.51
  6. Step 6: Final answer
    x = 9,963.66

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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.