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Finding the Fourth Proportional to 12,762.25, 17,612.49 and 7,097.57

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Solution

The fourth proportional to 12,762.25, 17,612.49 and 7,097.57 is: 9,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.25 : 17,612.49 = 7,097.57 : x
  2. Step 2: Convert to fraction form
    12,762.25/17,612.49 = 7,097.57/x
  3. Step 3: Cross multiply
    12,762.25x = 17,612.49 × 7,097.57
  4. Step 4: Simplify right side
    12,762.25x = 125,005,880.65
  5. Step 5: Solve for x
    x = 125,005,880.65/12,762.25
  6. Step 6: Final answer
    x = 9,794.97

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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.