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Finding the Fourth Proportional to 9,655.84, 13,325.61 and 7,293.88

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Solution

The fourth proportional to 9,655.84, 13,325.61 and 7,293.88 is: 10,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.84 : 13,325.61 = 7,293.88 : x
  2. Step 2: Convert to fraction form
    9,655.84/13,325.61 = 7,293.88/x
  3. Step 3: Cross multiply
    9,655.84x = 13,325.61 × 7,293.88
  4. Step 4: Simplify right side
    9,655.84x = 97,195,400.27
  5. Step 5: Solve for x
    x = 97,195,400.27/9,655.84
  6. Step 6: Final answer
    x = 10,065.97

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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.