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Finding the Fourth Proportional to 22,505.14, 33,762.48 and 7,710.08

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Solution

The fourth proportional to 22,505.14, 33,762.48 and 7,710.08 is: 11,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.14 : 33,762.48 = 7,710.08 : x
  2. Step 2: Convert to fraction form
    22,505.14/33,762.48 = 7,710.08/x
  3. Step 3: Cross multiply
    22,505.14x = 33,762.48 × 7,710.08
  4. Step 4: Simplify right side
    22,505.14x = 260,311,421.80
  5. Step 5: Solve for x
    x = 260,311,421.80/22,505.14
  6. Step 6: Final answer
    x = 11,566.75

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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.