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Finding the Fourth Proportional to 17,615.17, 24,309.75 and 9,658

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Solution

The fourth proportional to 17,615.17, 24,309.75 and 9,658 is: 13,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.17 : 24,309.75 = 9,658 : x
  2. Step 2: Convert to fraction form
    17,615.17/24,309.75 = 9,658/x
  3. Step 3: Cross multiply
    17,615.17x = 24,309.75 × 9,658
  4. Step 4: Simplify right side
    17,615.17x = 234,783,565.50
  5. Step 5: Solve for x
    x = 234,783,565.50/17,615.17
  6. Step 6: Final answer
    x = 13,328.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.