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Finding the Fourth Proportional to 7,807.84, 10,779.22 and 5,162.92

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Solution

The fourth proportional to 7,807.84, 10,779.22 and 5,162.92 is: 7,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.84 : 10,779.22 = 5,162.92 : x
  2. Step 2: Convert to fraction form
    7,807.84/10,779.22 = 5,162.92/x
  3. Step 3: Cross multiply
    7,807.84x = 10,779.22 × 5,162.92
  4. Step 4: Simplify right side
    7,807.84x = 55,652,250.52
  5. Step 5: Solve for x
    x = 55,652,250.52/7,807.84
  6. Step 6: Final answer
    x = 7,127.74

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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.