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Finding the Fourth Proportional to 6,578,714.16, 9,073,598.94 and 5,662,477.80

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Solution

The fourth proportional to 6,578,714.16, 9,073,598.94 and 5,662,477.80 is: 7,809,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,714.16 : 9,073,598.94 = 5,662,477.80 : x
  2. Step 2: Convert to fraction form
    6,578,714.16/9,073,598.94 = 5,662,477.80/x
  3. Step 3: Cross multiply
    6,578,714.16x = 9,073,598.94 × 5,662,477.80
  4. Step 4: Simplify right side
    6,578,714.16x = 51,379,052,563,853.53
  5. Step 5: Solve for x
    x = 51,379,052,563,853.53/6,578,714.16
  6. Step 6: Final answer
    x = 7,809,892.83

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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.