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Finding the Fourth Proportional to 7,798.87, 11,700.06 and 4,102.84

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Solution

The fourth proportional to 7,798.87, 11,700.06 and 4,102.84 is: 6,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.87 : 11,700.06 = 4,102.84 : x
  2. Step 2: Convert to fraction form
    7,798.87/11,700.06 = 4,102.84/x
  3. Step 3: Cross multiply
    7,798.87x = 11,700.06 × 4,102.84
  4. Step 4: Simplify right side
    7,798.87x = 48,003,474.17
  5. Step 5: Solve for x
    x = 48,003,474.17/7,798.87
  6. Step 6: Final answer
    x = 6,155.18

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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.