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Finding the Fourth Proportional to 6,935.15, 9,567.15 and 4,697.80

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Solution

The fourth proportional to 6,935.15, 9,567.15 and 4,697.80 is: 6,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.15 : 9,567.15 = 4,697.80 : x
  2. Step 2: Convert to fraction form
    6,935.15/9,567.15 = 4,697.80/x
  3. Step 3: Cross multiply
    6,935.15x = 9,567.15 × 4,697.80
  4. Step 4: Simplify right side
    6,935.15x = 44,944,515.74
  5. Step 5: Solve for x
    x = 44,944,515.74/6,935.15
  6. Step 6: Final answer
    x = 6,480.68

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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.