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Finding the Fourth Proportional to 22,857.44, 34,283.64 and 7,276.28

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Solution

The fourth proportional to 22,857.44, 34,283.64 and 7,276.28 is: 10,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.44 : 34,283.64 = 7,276.28 : x
  2. Step 2: Convert to fraction form
    22,857.44/34,283.64 = 7,276.28/x
  3. Step 3: Cross multiply
    22,857.44x = 34,283.64 × 7,276.28
  4. Step 4: Simplify right side
    22,857.44x = 249,457,364.06
  5. Step 5: Solve for x
    x = 249,457,364.06/22,857.44
  6. Step 6: Final answer
    x = 10,913.62

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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.