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Finding the Fourth Proportional to 12,213, 16,854.30 and 6,907.71

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Solution

The fourth proportional to 12,213, 16,854.30 and 6,907.71 is: 9,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213 : 16,854.30 = 6,907.71 : x
  2. Step 2: Convert to fraction form
    12,213/16,854.30 = 6,907.71/x
  3. Step 3: Cross multiply
    12,213x = 16,854.30 × 6,907.71
  4. Step 4: Simplify right side
    12,213x = 116,424,616.65
  5. Step 5: Solve for x
    x = 116,424,616.65/12,213
  6. Step 6: Final answer
    x = 9,532.84

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1.5x scale

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.