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Finding the Fourth Proportional to 7,097.48, 9,796.02 and 4,743.56

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Solution

The fourth proportional to 7,097.48, 9,796.02 and 4,743.56 is: 6,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.48 : 9,796.02 = 4,743.56 : x
  2. Step 2: Convert to fraction form
    7,097.48/9,796.02 = 4,743.56/x
  3. Step 3: Cross multiply
    7,097.48x = 9,796.02 × 4,743.56
  4. Step 4: Simplify right side
    7,097.48x = 46,468,008.63
  5. Step 5: Solve for x
    x = 46,468,008.63/7,097.48
  6. Step 6: Final answer
    x = 6,547.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.