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Finding the Fourth Proportional to 6,783.80, 9,362.78 and 4,132.24

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Solution

The fourth proportional to 6,783.80, 9,362.78 and 4,132.24 is: 5,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.80 : 9,362.78 = 4,132.24 : x
  2. Step 2: Convert to fraction form
    6,783.80/9,362.78 = 4,132.24/x
  3. Step 3: Cross multiply
    6,783.80x = 9,362.78 × 4,132.24
  4. Step 4: Simplify right side
    6,783.80x = 38,689,254.03
  5. Step 5: Solve for x
    x = 38,689,254.03/6,783.80
  6. Step 6: Final answer
    x = 5,703.18

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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.