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Finding the Fourth Proportional to 9,939.62, 13,703.16 and 7,506.35

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Solution

The fourth proportional to 9,939.62, 13,703.16 and 7,506.35 is: 10,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.62 : 13,703.16 = 7,506.35 : x
  2. Step 2: Convert to fraction form
    9,939.62/13,703.16 = 7,506.35/x
  3. Step 3: Cross multiply
    9,939.62x = 13,703.16 × 7,506.35
  4. Step 4: Simplify right side
    9,939.62x = 102,860,715.07
  5. Step 5: Solve for x
    x = 102,860,715.07/9,939.62
  6. Step 6: Final answer
    x = 10,348.56

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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.