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Finding the Fourth Proportional to 6,046.51, 9,069.33 and 1,604.07

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Solution

The fourth proportional to 6,046.51, 9,069.33 and 1,604.07 is: 2,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.51 : 9,069.33 = 1,604.07 : x
  2. Step 2: Convert to fraction form
    6,046.51/9,069.33 = 1,604.07/x
  3. Step 3: Cross multiply
    6,046.51x = 9,069.33 × 1,604.07
  4. Step 4: Simplify right side
    6,046.51x = 14,547,877.68
  5. Step 5: Solve for x
    x = 14,547,877.68/6,046.51
  6. Step 6: Final answer
    x = 2,406.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.