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Finding the Fourth Proportional to 23,698, 35,547 and 7,282

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Solution

The fourth proportional to 23,698, 35,547 and 7,282 is: 10,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698 : 35,547 = 7,282 : x
  2. Step 2: Convert to fraction form
    23,698/35,547 = 7,282/x
  3. Step 3: Cross multiply
    23,698x = 35,547 × 7,282
  4. Step 4: Simplify right side
    23,698x = 258,853,254
  5. Step 5: Solve for x
    x = 258,853,254/23,698
  6. Step 6: Final answer
    x = 10,923

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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.