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Finding the Fourth Proportional to 10,506.30, 15,698.48 and 7,956.62

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Solution

The fourth proportional to 10,506.30, 15,698.48 and 7,956.62 is: 11,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.30 : 15,698.48 = 7,956.62 : x
  2. Step 2: Convert to fraction form
    10,506.30/15,698.48 = 7,956.62/x
  3. Step 3: Cross multiply
    10,506.30x = 15,698.48 × 7,956.62
  4. Step 4: Simplify right side
    10,506.30x = 124,906,839.94
  5. Step 5: Solve for x
    x = 124,906,839.94/10,506.30
  6. Step 6: Final answer
    x = 11,888.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.