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Finding the Fourth Proportional to 9,256.50, 13,880.64 and 2,681.16

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Solution

The fourth proportional to 9,256.50, 13,880.64 and 2,681.16 is: 4,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.50 : 13,880.64 = 2,681.16 : x
  2. Step 2: Convert to fraction form
    9,256.50/13,880.64 = 2,681.16/x
  3. Step 3: Cross multiply
    9,256.50x = 13,880.64 × 2,681.16
  4. Step 4: Simplify right side
    9,256.50x = 37,216,216.74
  5. Step 5: Solve for x
    x = 37,216,216.74/9,256.50
  6. Step 6: Final answer
    x = 4,020.55

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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.