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Finding the Fourth Proportional to 9,921.70, 13,684.73 and 6,567.39

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Solution

The fourth proportional to 9,921.70, 13,684.73 and 6,567.39 is: 9,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.70 : 13,684.73 = 6,567.39 : x
  2. Step 2: Convert to fraction form
    9,921.70/13,684.73 = 6,567.39/x
  3. Step 3: Cross multiply
    9,921.70x = 13,684.73 × 6,567.39
  4. Step 4: Simplify right side
    9,921.70x = 89,872,926.12
  5. Step 5: Solve for x
    x = 89,872,926.12/9,921.70
  6. Step 6: Final answer
    x = 9,058.22

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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.