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Finding the Fourth Proportional to 6,065.04, 9,097.60 and 2,602.32

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Solution

The fourth proportional to 6,065.04, 9,097.60 and 2,602.32 is: 3,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.04 : 9,097.60 = 2,602.32 : x
  2. Step 2: Convert to fraction form
    6,065.04/9,097.60 = 2,602.32/x
  3. Step 3: Cross multiply
    6,065.04x = 9,097.60 × 2,602.32
  4. Step 4: Simplify right side
    6,065.04x = 23,674,866.43
  5. Step 5: Solve for x
    x = 23,674,866.43/6,065.04
  6. Step 6: Final answer
    x = 3,903.50

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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.