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Finding the Fourth Proportional to 19,897, 29,842.02 and 6,570.16

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Solution

The fourth proportional to 19,897, 29,842.02 and 6,570.16 is: 9,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897 : 29,842.02 = 6,570.16 : x
  2. Step 2: Convert to fraction form
    19,897/29,842.02 = 6,570.16/x
  3. Step 3: Cross multiply
    19,897x = 29,842.02 × 6,570.16
  4. Step 4: Simplify right side
    19,897x = 196,066,846.12
  5. Step 5: Solve for x
    x = 196,066,846.12/19,897
  6. Step 6: Final answer
    x = 9,854.09

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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.