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Finding the Fourth Proportional to 6,437.12, 9,656.01 and 2,054.93

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Solution

The fourth proportional to 6,437.12, 9,656.01 and 2,054.93 is: 3,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.12 : 9,656.01 = 2,054.93 : x
  2. Step 2: Convert to fraction form
    6,437.12/9,656.01 = 2,054.93/x
  3. Step 3: Cross multiply
    6,437.12x = 9,656.01 × 2,054.93
  4. Step 4: Simplify right side
    6,437.12x = 19,842,376.35
  5. Step 5: Solve for x
    x = 19,842,376.35/6,437.12
  6. Step 6: Final answer
    x = 3,082.50

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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.