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Finding the Fourth Proportional to 9,762.62, 13,469.08 and 5,513.18

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Solution

The fourth proportional to 9,762.62, 13,469.08 and 5,513.18 is: 7,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.62 : 13,469.08 = 5,513.18 : x
  2. Step 2: Convert to fraction form
    9,762.62/13,469.08 = 5,513.18/x
  3. Step 3: Cross multiply
    9,762.62x = 13,469.08 × 5,513.18
  4. Step 4: Simplify right side
    9,762.62x = 74,257,462.47
  5. Step 5: Solve for x
    x = 74,257,462.47/9,762.62
  6. Step 6: Final answer
    x = 7,606.30

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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.