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Finding the Fourth Proportional to 22,364.69, 33,547.02 and 6,782.31

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Solution

The fourth proportional to 22,364.69, 33,547.02 and 6,782.31 is: 10,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.69 : 33,547.02 = 6,782.31 : x
  2. Step 2: Convert to fraction form
    22,364.69/33,547.02 = 6,782.31/x
  3. Step 3: Cross multiply
    22,364.69x = 33,547.02 × 6,782.31
  4. Step 4: Simplify right side
    22,364.69x = 227,526,289.22
  5. Step 5: Solve for x
    x = 227,526,289.22/22,364.69
  6. Step 6: Final answer
    x = 10,173.46

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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.