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Finding the Fourth Proportional to 8,948, 12,348.24 and 5,222

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Solution

The fourth proportional to 8,948, 12,348.24 and 5,222 is: 7,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948 : 12,348.24 = 5,222 : x
  2. Step 2: Convert to fraction form
    8,948/12,348.24 = 5,222/x
  3. Step 3: Cross multiply
    8,948x = 12,348.24 × 5,222
  4. Step 4: Simplify right side
    8,948x = 64,482,509.28
  5. Step 5: Solve for x
    x = 64,482,509.28/8,948
  6. Step 6: Final answer
    x = 7,206.36

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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.