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Finding the Fourth Proportional to 10,962,662.80, 16,458,768.60 and 6,418,368.40

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Solution

The fourth proportional to 10,962,662.80, 16,458,768.60 and 6,418,368.40 is: 9,636,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962,662.80 : 16,458,768.60 = 6,418,368.40 : x
  2. Step 2: Convert to fraction form
    10,962,662.80/16,458,768.60 = 6,418,368.40/x
  3. Step 3: Cross multiply
    10,962,662.80x = 16,458,768.60 × 6,418,368.40
  4. Step 4: Simplify right side
    10,962,662.80x = 105,638,440,285,152.25
  5. Step 5: Solve for x
    x = 105,638,440,285,152.25/10,962,662.80
  6. Step 6: Final answer
    x = 9,636,202.65

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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.