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Finding the Fourth Proportional to 6,496,817.60, 9,745,840.80 and 1,769,009.60

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Solution

The fourth proportional to 6,496,817.60, 9,745,840.80 and 1,769,009.60 is: 2,653,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,817.60 : 9,745,840.80 = 1,769,009.60 : x
  2. Step 2: Convert to fraction form
    6,496,817.60/9,745,840.80 = 1,769,009.60/x
  3. Step 3: Cross multiply
    6,496,817.60x = 9,745,840.80 × 1,769,009.60
  4. Step 4: Simplify right side
    6,496,817.60x = 17,240,485,935,271.68
  5. Step 5: Solve for x
    x = 17,240,485,935,271.68/6,496,817.60
  6. Step 6: Final answer
    x = 2,653,681.69

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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.