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Finding the Fourth Proportional to 7,807.82, 10,770.98 and 5,319.50

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Solution

The fourth proportional to 7,807.82, 10,770.98 and 5,319.50 is: 7,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.82 : 10,770.98 = 5,319.50 : x
  2. Step 2: Convert to fraction form
    7,807.82/10,770.98 = 5,319.50/x
  3. Step 3: Cross multiply
    7,807.82x = 10,770.98 × 5,319.50
  4. Step 4: Simplify right side
    7,807.82x = 57,296,228.11
  5. Step 5: Solve for x
    x = 57,296,228.11/7,807.82
  6. Step 6: Final answer
    x = 7,338.31

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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.