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Finding the Fourth Proportional to 7,057.19, 9,738.87 and 3,870.39

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Solution

The fourth proportional to 7,057.19, 9,738.87 and 3,870.39 is: 5,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.19 : 9,738.87 = 3,870.39 : x
  2. Step 2: Convert to fraction form
    7,057.19/9,738.87 = 3,870.39/x
  3. Step 3: Cross multiply
    7,057.19x = 9,738.87 × 3,870.39
  4. Step 4: Simplify right side
    7,057.19x = 37,693,247.07
  5. Step 5: Solve for x
    x = 37,693,247.07/7,057.19
  6. Step 6: Final answer
    x = 5,341.11

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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.