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Finding the Fourth Proportional to 15,497.69, 21,386.84 and 8,424.09

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Solution

The fourth proportional to 15,497.69, 21,386.84 and 8,424.09 is: 11,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.69 : 21,386.84 = 8,424.09 : x
  2. Step 2: Convert to fraction form
    15,497.69/21,386.84 = 8,424.09/x
  3. Step 3: Cross multiply
    15,497.69x = 21,386.84 × 8,424.09
  4. Step 4: Simplify right side
    15,497.69x = 180,164,622.86
  5. Step 5: Solve for x
    x = 180,164,622.86/15,497.69
  6. Step 6: Final answer
    x = 11,625.26

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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.