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Finding the Fourth Proportional to 9,883.77, 14,823.46 and 2,862.24

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Solution

The fourth proportional to 9,883.77, 14,823.46 and 2,862.24 is: 4,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.77 : 14,823.46 = 2,862.24 : x
  2. Step 2: Convert to fraction form
    9,883.77/14,823.46 = 2,862.24/x
  3. Step 3: Cross multiply
    9,883.77x = 14,823.46 × 2,862.24
  4. Step 4: Simplify right side
    9,883.77x = 42,428,232.04
  5. Step 5: Solve for x
    x = 42,428,232.04/9,883.77
  6. Step 6: Final answer
    x = 4,292.72

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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.