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Finding the Fourth Proportional to 12,752.10, 17,599.26 and 7,448.64

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Solution

The fourth proportional to 12,752.10, 17,599.26 and 7,448.64 is: 10,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.10 : 17,599.26 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    12,752.10/17,599.26 = 7,448.64/x
  3. Step 3: Cross multiply
    12,752.10x = 17,599.26 × 7,448.64
  4. Step 4: Simplify right side
    12,752.10x = 131,090,552.01
  5. Step 5: Solve for x
    x = 131,090,552.01/12,752.10
  6. Step 6: Final answer
    x = 10,279.92

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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.