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Finding the Fourth Proportional to 7,082.84, 10,645.86 and 6,916.52

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Solution

The fourth proportional to 7,082.84, 10,645.86 and 6,916.52 is: 10,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.84 : 10,645.86 = 6,916.52 : x
  2. Step 2: Convert to fraction form
    7,082.84/10,645.86 = 6,916.52/x
  3. Step 3: Cross multiply
    7,082.84x = 10,645.86 × 6,916.52
  4. Step 4: Simplify right side
    7,082.84x = 73,632,303.61
  5. Step 5: Solve for x
    x = 73,632,303.61/7,082.84
  6. Step 6: Final answer
    x = 10,395.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.