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Finding the Fourth Proportional to 22,209.72, 33,312.24 and 7,417

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Solution

The fourth proportional to 22,209.72, 33,312.24 and 7,417 is: 11,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.72 : 33,312.24 = 7,417 : x
  2. Step 2: Convert to fraction form
    22,209.72/33,312.24 = 7,417/x
  3. Step 3: Cross multiply
    22,209.72x = 33,312.24 × 7,417
  4. Step 4: Simplify right side
    22,209.72x = 247,076,884.08
  5. Step 5: Solve for x
    x = 247,076,884.08/22,209.72
  6. Step 6: Final answer
    x = 11,124.72

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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.