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Finding the Fourth Proportional to 10,950.87, 15,106.50 and 6,965.07

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Solution

The fourth proportional to 10,950.87, 15,106.50 and 6,965.07 is: 9,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.87 : 15,106.50 = 6,965.07 : x
  2. Step 2: Convert to fraction form
    10,950.87/15,106.50 = 6,965.07/x
  3. Step 3: Cross multiply
    10,950.87x = 15,106.50 × 6,965.07
  4. Step 4: Simplify right side
    10,950.87x = 105,217,829.96
  5. Step 5: Solve for x
    x = 105,217,829.96/10,950.87
  6. Step 6: Final answer
    x = 9,608.17

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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.