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Finding the Fourth Proportional to 29,698, 44,547 and 7,810

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Solution

The fourth proportional to 29,698, 44,547 and 7,810 is: 11,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698 : 44,547 = 7,810 : x
  2. Step 2: Convert to fraction form
    29,698/44,547 = 7,810/x
  3. Step 3: Cross multiply
    29,698x = 44,547 × 7,810
  4. Step 4: Simplify right side
    29,698x = 347,912,070
  5. Step 5: Solve for x
    x = 347,912,070/29,698
  6. Step 6: Final answer
    x = 11,715

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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.