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Finding the Fourth Proportional to 22,946.25, 34,425.45 and 7,364.28

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Solution

The fourth proportional to 22,946.25, 34,425.45 and 7,364.28 is: 11,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.25 : 34,425.45 = 7,364.28 : x
  2. Step 2: Convert to fraction form
    22,946.25/34,425.45 = 7,364.28/x
  3. Step 3: Cross multiply
    22,946.25x = 34,425.45 × 7,364.28
  4. Step 4: Simplify right side
    22,946.25x = 253,518,652.93
  5. Step 5: Solve for x
    x = 253,518,652.93/22,946.25
  6. Step 6: Final answer
    x = 11,048.37

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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.