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Finding the Fourth Proportional to 15,889.71, 21,929.75 and 9,175.33

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Solution

The fourth proportional to 15,889.71, 21,929.75 and 9,175.33 is: 12,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.71 : 21,929.75 = 9,175.33 : x
  2. Step 2: Convert to fraction form
    15,889.71/21,929.75 = 9,175.33/x
  3. Step 3: Cross multiply
    15,889.71x = 21,929.75 × 9,175.33
  4. Step 4: Simplify right side
    15,889.71x = 201,212,693.07
  5. Step 5: Solve for x
    x = 201,212,693.07/15,889.71
  6. Step 6: Final answer
    x = 12,663.08

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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.