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Finding the Fourth Proportional to 9,253.64, 13,865.88 and 5,087.46

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Solution

The fourth proportional to 9,253.64, 13,865.88 and 5,087.46 is: 7,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.64 : 13,865.88 = 5,087.46 : x
  2. Step 2: Convert to fraction form
    9,253.64/13,865.88 = 5,087.46/x
  3. Step 3: Cross multiply
    9,253.64x = 13,865.88 × 5,087.46
  4. Step 4: Simplify right side
    9,253.64x = 70,542,109.86
  5. Step 5: Solve for x
    x = 70,542,109.86/9,253.64
  6. Step 6: Final answer
    x = 7,623.17

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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.