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Finding the Fourth Proportional to 9,718.29, 14,578.29 and 2,698.74

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Solution

The fourth proportional to 9,718.29, 14,578.29 and 2,698.74 is: 4,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.29 : 14,578.29 = 2,698.74 : x
  2. Step 2: Convert to fraction form
    9,718.29/14,578.29 = 2,698.74/x
  3. Step 3: Cross multiply
    9,718.29x = 14,578.29 × 2,698.74
  4. Step 4: Simplify right side
    9,718.29x = 39,343,014.35
  5. Step 5: Solve for x
    x = 39,343,014.35/9,718.29
  6. Step 6: Final answer
    x = 4,048.35

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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.