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Finding the Fourth Proportional to 6,783.69, 9,362.27 and 4,132.65

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Solution

The fourth proportional to 6,783.69, 9,362.27 and 4,132.65 is: 5,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.69 : 9,362.27 = 4,132.65 : x
  2. Step 2: Convert to fraction form
    6,783.69/9,362.27 = 4,132.65/x
  3. Step 3: Cross multiply
    6,783.69x = 9,362.27 × 4,132.65
  4. Step 4: Simplify right side
    6,783.69x = 38,690,985.12
  5. Step 5: Solve for x
    x = 38,690,985.12/6,783.69
  6. Step 6: Final answer
    x = 5,703.53

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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.