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Finding the Fourth Proportional to 6,553,278.14, 9,829,908.70 and 1,760,967.51

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Solution

The fourth proportional to 6,553,278.14, 9,829,908.70 and 1,760,967.51 is: 2,641,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,278.14 : 9,829,908.70 = 1,760,967.51 : x
  2. Step 2: Convert to fraction form
    6,553,278.14/9,829,908.70 = 1,760,967.51/x
  3. Step 3: Cross multiply
    6,553,278.14x = 9,829,908.70 × 1,760,967.51
  4. Step 4: Simplify right side
    6,553,278.14x = 17,310,149,805,701.76
  5. Step 5: Solve for x
    x = 17,310,149,805,701.76/6,553,278.14
  6. Step 6: Final answer
    x = 2,641,448.97

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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.