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Finding the Fourth Proportional to 7,804.19, 11,699.87 and 3,642.14

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Solution

The fourth proportional to 7,804.19, 11,699.87 and 3,642.14 is: 5,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.19 : 11,699.87 = 3,642.14 : x
  2. Step 2: Convert to fraction form
    7,804.19/11,699.87 = 3,642.14/x
  3. Step 3: Cross multiply
    7,804.19x = 11,699.87 × 3,642.14
  4. Step 4: Simplify right side
    7,804.19x = 42,612,545.34
  5. Step 5: Solve for x
    x = 42,612,545.34/7,804.19
  6. Step 6: Final answer
    x = 5,460.21

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1.5x scale

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.