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Finding the Fourth Proportional to 22,505.26, 33,762.67 and 7,710.20

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Solution

The fourth proportional to 22,505.26, 33,762.67 and 7,710.20 is: 11,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.26 : 33,762.67 = 7,710.20 : x
  2. Step 2: Convert to fraction form
    22,505.26/33,762.67 = 7,710.20/x
  3. Step 3: Cross multiply
    22,505.26x = 33,762.67 × 7,710.20
  4. Step 4: Simplify right side
    22,505.26x = 260,316,938.23
  5. Step 5: Solve for x
    x = 260,316,938.23/22,505.26
  6. Step 6: Final answer
    x = 11,566.94

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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.