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Finding the Fourth Proportional to 9,905, 13,669.24 and 6,679.16

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Solution

The fourth proportional to 9,905, 13,669.24 and 6,679.16 is: 9,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 13,669.24 = 6,679.16 : x
  2. Step 2: Convert to fraction form
    9,905/13,669.24 = 6,679.16/x
  3. Step 3: Cross multiply
    9,905x = 13,669.24 × 6,679.16
  4. Step 4: Simplify right side
    9,905x = 91,299,041.04
  5. Step 5: Solve for x
    x = 91,299,041.04/9,905
  6. Step 6: Final answer
    x = 9,217.47

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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.