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Finding the Fourth Proportional to 9,963.70, 13,750.33 and 5,715.96

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Solution

The fourth proportional to 9,963.70, 13,750.33 and 5,715.96 is: 7,888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.70 : 13,750.33 = 5,715.96 : x
  2. Step 2: Convert to fraction form
    9,963.70/13,750.33 = 5,715.96/x
  3. Step 3: Cross multiply
    9,963.70x = 13,750.33 × 5,715.96
  4. Step 4: Simplify right side
    9,963.70x = 78,596,238.94
  5. Step 5: Solve for x
    x = 78,596,238.94/9,963.70
  6. Step 6: Final answer
    x = 7,888.26

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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.