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Finding the Fourth Proportional to 6,775.14, 9,352.77 and 5,097.08

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Solution

The fourth proportional to 6,775.14, 9,352.77 and 5,097.08 is: 7,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.14 : 9,352.77 = 5,097.08 : x
  2. Step 2: Convert to fraction form
    6,775.14/9,352.77 = 5,097.08/x
  3. Step 3: Cross multiply
    6,775.14x = 9,352.77 × 5,097.08
  4. Step 4: Simplify right side
    6,775.14x = 47,671,768.57
  5. Step 5: Solve for x
    x = 47,671,768.57/6,775.14
  6. Step 6: Final answer
    x = 7,036.27

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Half scale
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1.5x scale

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.