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Finding the Fourth Proportional to 17,648.19, 26,465.49 and 7,114.59

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Solution

The fourth proportional to 17,648.19, 26,465.49 and 7,114.59 is: 10,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.19 : 26,465.49 = 7,114.59 : x
  2. Step 2: Convert to fraction form
    17,648.19/26,465.49 = 7,114.59/x
  3. Step 3: Cross multiply
    17,648.19x = 26,465.49 × 7,114.59
  4. Step 4: Simplify right side
    17,648.19x = 188,291,110.50
  5. Step 5: Solve for x
    x = 188,291,110.50/17,648.19
  6. Step 6: Final answer
    x = 10,669.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.