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Finding the Fourth Proportional to 11,558.19, 15,950.88 and 7,082.19

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Solution

The fourth proportional to 11,558.19, 15,950.88 and 7,082.19 is: 9,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.19 : 15,950.88 = 7,082.19 : x
  2. Step 2: Convert to fraction form
    11,558.19/15,950.88 = 7,082.19/x
  3. Step 3: Cross multiply
    11,558.19x = 15,950.88 × 7,082.19
  4. Step 4: Simplify right side
    11,558.19x = 112,967,127.42
  5. Step 5: Solve for x
    x = 112,967,127.42/11,558.19
  6. Step 6: Final answer
    x = 9,773.77

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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.