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Finding the Fourth Proportional to 9,254.78, 13,873.76 and 4,807.24

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Solution

The fourth proportional to 9,254.78, 13,873.76 and 4,807.24 is: 7,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.78 : 13,873.76 = 4,807.24 : x
  2. Step 2: Convert to fraction form
    9,254.78/13,873.76 = 4,807.24/x
  3. Step 3: Cross multiply
    9,254.78x = 13,873.76 × 4,807.24
  4. Step 4: Simplify right side
    9,254.78x = 66,694,506.04
  5. Step 5: Solve for x
    x = 66,694,506.04/9,254.78
  6. Step 6: Final answer
    x = 7,206.50

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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.