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Finding the Fourth Proportional to 6,679,971.50, 9,212,674.80 and 4,647,636.14

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Solution

The fourth proportional to 6,679,971.50, 9,212,674.80 and 4,647,636.14 is: 6,409,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679,971.50 : 9,212,674.80 = 4,647,636.14 : x
  2. Step 2: Convert to fraction form
    6,679,971.50/9,212,674.80 = 4,647,636.14/x
  3. Step 3: Cross multiply
    6,679,971.50x = 9,212,674.80 × 4,647,636.14
  4. Step 4: Simplify right side
    6,679,971.50x = 42,817,160,346,547.27
  5. Step 5: Solve for x
    x = 42,817,160,346,547.27/6,679,971.50
  6. Step 6: Final answer
    x = 6,409,781.89

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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.