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Finding the Fourth Proportional to 9,607.62, 13,258.62 and 5,415.87

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Solution

The fourth proportional to 9,607.62, 13,258.62 and 5,415.87 is: 7,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.62 : 13,258.62 = 5,415.87 : x
  2. Step 2: Convert to fraction form
    9,607.62/13,258.62 = 5,415.87/x
  3. Step 3: Cross multiply
    9,607.62x = 13,258.62 × 5,415.87
  4. Step 4: Simplify right side
    9,607.62x = 71,806,962.30
  5. Step 5: Solve for x
    x = 71,806,962.30/9,607.62
  6. Step 6: Final answer
    x = 7,473.96

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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.