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Finding the Fourth Proportional to 17,528, 26,290.50 and 6,434.24

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Solution

The fourth proportional to 17,528, 26,290.50 and 6,434.24 is: 9,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528 : 26,290.50 = 6,434.24 : x
  2. Step 2: Convert to fraction form
    17,528/26,290.50 = 6,434.24/x
  3. Step 3: Cross multiply
    17,528x = 26,290.50 × 6,434.24
  4. Step 4: Simplify right side
    17,528x = 169,159,386.72
  5. Step 5: Solve for x
    x = 169,159,386.72/17,528
  6. Step 6: Final answer
    x = 9,650.81

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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.