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Finding the Fourth Proportional to 17,042, 25,565.16 and 4,730

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Solution

The fourth proportional to 17,042, 25,565.16 and 4,730 is: 7,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042 : 25,565.16 = 4,730 : x
  2. Step 2: Convert to fraction form
    17,042/25,565.16 = 4,730/x
  3. Step 3: Cross multiply
    17,042x = 25,565.16 × 4,730
  4. Step 4: Simplify right side
    17,042x = 120,923,206.80
  5. Step 5: Solve for x
    x = 120,923,206.80/17,042
  6. Step 6: Final answer
    x = 7,095.60

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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.