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Finding the Fourth Proportional to 6,854.69, 9,459.65 and 4,203.56

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Solution

The fourth proportional to 6,854.69, 9,459.65 and 4,203.56 is: 5,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.69 : 9,459.65 = 4,203.56 : x
  2. Step 2: Convert to fraction form
    6,854.69/9,459.65 = 4,203.56/x
  3. Step 3: Cross multiply
    6,854.69x = 9,459.65 × 4,203.56
  4. Step 4: Simplify right side
    6,854.69x = 39,764,185.34
  5. Step 5: Solve for x
    x = 39,764,185.34/6,854.69
  6. Step 6: Final answer
    x = 5,801.02

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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.