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Finding the Fourth Proportional to 22,354.69, 33,547.79 and 10,509

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Solution

The fourth proportional to 22,354.69, 33,547.79 and 10,509 is: 15,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.69 : 33,547.79 = 10,509 : x
  2. Step 2: Convert to fraction form
    22,354.69/33,547.79 = 10,509/x
  3. Step 3: Cross multiply
    22,354.69x = 33,547.79 × 10,509
  4. Step 4: Simplify right side
    22,354.69x = 352,553,725.11
  5. Step 5: Solve for x
    x = 352,553,725.11/22,354.69
  6. Step 6: Final answer
    x = 15,770.91

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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.