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Finding the Fourth Proportional to 7,106.78, 9,807.50 and 4,082.20

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Solution

The fourth proportional to 7,106.78, 9,807.50 and 4,082.20 is: 5,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.78 : 9,807.50 = 4,082.20 : x
  2. Step 2: Convert to fraction form
    7,106.78/9,807.50 = 4,082.20/x
  3. Step 3: Cross multiply
    7,106.78x = 9,807.50 × 4,082.20
  4. Step 4: Simplify right side
    7,106.78x = 40,036,176.50
  5. Step 5: Solve for x
    x = 40,036,176.50/7,106.78
  6. Step 6: Final answer
    x = 5,633.52

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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.