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Finding the Fourth Proportional to 6,684.03, 9,969.54 and 6,298.56

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Solution

The fourth proportional to 6,684.03, 9,969.54 and 6,298.56 is: 9,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.03 : 9,969.54 = 6,298.56 : x
  2. Step 2: Convert to fraction form
    6,684.03/9,969.54 = 6,298.56/x
  3. Step 3: Cross multiply
    6,684.03x = 9,969.54 × 6,298.56
  4. Step 4: Simplify right side
    6,684.03x = 62,793,769.48
  5. Step 5: Solve for x
    x = 62,793,769.48/6,684.03
  6. Step 6: Final answer
    x = 9,394.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.