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Finding the Fourth Proportional to 7,797.08, 10,762.54 and 6,206.65

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Solution

The fourth proportional to 7,797.08, 10,762.54 and 6,206.65 is: 8,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.08 : 10,762.54 = 6,206.65 : x
  2. Step 2: Convert to fraction form
    7,797.08/10,762.54 = 6,206.65/x
  3. Step 3: Cross multiply
    7,797.08x = 10,762.54 × 6,206.65
  4. Step 4: Simplify right side
    7,797.08x = 66,799,276.47
  5. Step 5: Solve for x
    x = 66,799,276.47/7,797.08
  6. Step 6: Final answer
    x = 8,567.21

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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.