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Finding the Fourth Proportional to 7,829.16, 10,803.83 and 4,471.31

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Solution

The fourth proportional to 7,829.16, 10,803.83 and 4,471.31 is: 6,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.16 : 10,803.83 = 4,471.31 : x
  2. Step 2: Convert to fraction form
    7,829.16/10,803.83 = 4,471.31/x
  3. Step 3: Cross multiply
    7,829.16x = 10,803.83 × 4,471.31
  4. Step 4: Simplify right side
    7,829.16x = 48,307,250.76
  5. Step 5: Solve for x
    x = 48,307,250.76/7,829.16
  6. Step 6: Final answer
    x = 6,170.17

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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.