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Finding the Fourth Proportional to 9,253.84, 13,881.04 and 2,681.50

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Solution

The fourth proportional to 9,253.84, 13,881.04 and 2,681.50 is: 4,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.84 : 13,881.04 = 2,681.50 : x
  2. Step 2: Convert to fraction form
    9,253.84/13,881.04 = 2,681.50/x
  3. Step 3: Cross multiply
    9,253.84x = 13,881.04 × 2,681.50
  4. Step 4: Simplify right side
    9,253.84x = 37,222,008.76
  5. Step 5: Solve for x
    x = 37,222,008.76/9,253.84
  6. Step 6: Final answer
    x = 4,022.33

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1.5x scale

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.