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Finding the Fourth Proportional to 9,673.55, 13,349.31 and 6,309.98

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Solution

The fourth proportional to 9,673.55, 13,349.31 and 6,309.98 is: 8,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.55 : 13,349.31 = 6,309.98 : x
  2. Step 2: Convert to fraction form
    9,673.55/13,349.31 = 6,309.98/x
  3. Step 3: Cross multiply
    9,673.55x = 13,349.31 × 6,309.98
  4. Step 4: Simplify right side
    9,673.55x = 84,233,879.11
  5. Step 5: Solve for x
    x = 84,233,879.11/9,673.55
  6. Step 6: Final answer
    x = 8,707.65

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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.