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Finding the Fourth Proportional to 12,801.71, 19,196.93 and 6,472.70

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Solution

The fourth proportional to 12,801.71, 19,196.93 and 6,472.70 is: 9,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.71 : 19,196.93 = 6,472.70 : x
  2. Step 2: Convert to fraction form
    12,801.71/19,196.93 = 6,472.70/x
  3. Step 3: Cross multiply
    12,801.71x = 19,196.93 × 6,472.70
  4. Step 4: Simplify right side
    12,801.71x = 124,255,889.01
  5. Step 5: Solve for x
    x = 124,255,889.01/12,801.71
  6. Step 6: Final answer
    x = 9,706.19

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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.