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Finding the Fourth Proportional to 10,592.80, 14,622.80 and 7,623.20

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Solution

The fourth proportional to 10,592.80, 14,622.80 and 7,623.20 is: 10,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.80 : 14,622.80 = 7,623.20 : x
  2. Step 2: Convert to fraction form
    10,592.80/14,622.80 = 7,623.20/x
  3. Step 3: Cross multiply
    10,592.80x = 14,622.80 × 7,623.20
  4. Step 4: Simplify right side
    10,592.80x = 111,472,528.96
  5. Step 5: Solve for x
    x = 111,472,528.96/10,592.80
  6. Step 6: Final answer
    x = 10,523.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.