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Finding the Fourth Proportional to 22,448.16, 33,665.74 and 7,656.74

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Solution

The fourth proportional to 22,448.16, 33,665.74 and 7,656.74 is: 11,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.16 : 33,665.74 = 7,656.74 : x
  2. Step 2: Convert to fraction form
    22,448.16/33,665.74 = 7,656.74/x
  3. Step 3: Cross multiply
    22,448.16x = 33,665.74 × 7,656.74
  4. Step 4: Simplify right side
    22,448.16x = 257,769,818.09
  5. Step 5: Solve for x
    x = 257,769,818.09/22,448.16
  6. Step 6: Final answer
    x = 11,482.89

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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.