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Finding the Fourth Proportional to 7,965.29, 10,991.95 and 4,428.42

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Solution

The fourth proportional to 7,965.29, 10,991.95 and 4,428.42 is: 6,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.29 : 10,991.95 = 4,428.42 : x
  2. Step 2: Convert to fraction form
    7,965.29/10,991.95 = 4,428.42/x
  3. Step 3: Cross multiply
    7,965.29x = 10,991.95 × 4,428.42
  4. Step 4: Simplify right side
    7,965.29x = 48,677,005.67
  5. Step 5: Solve for x
    x = 48,677,005.67/7,965.29
  6. Step 6: Final answer
    x = 6,111.14

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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.