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Finding the Fourth Proportional to 6,969.84, 10,454.37 and 5,097.65

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Solution

The fourth proportional to 6,969.84, 10,454.37 and 5,097.65 is: 7,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.84 : 10,454.37 = 5,097.65 : x
  2. Step 2: Convert to fraction form
    6,969.84/10,454.37 = 5,097.65/x
  3. Step 3: Cross multiply
    6,969.84x = 10,454.37 × 5,097.65
  4. Step 4: Simplify right side
    6,969.84x = 53,292,719.23
  5. Step 5: Solve for x
    x = 53,292,719.23/6,969.84
  6. Step 6: Final answer
    x = 7,646.19

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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.