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Finding the Fourth Proportional to 7,682.47, 10,602.02 and 4,698.25

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Solution

The fourth proportional to 7,682.47, 10,602.02 and 4,698.25 is: 6,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.47 : 10,602.02 = 4,698.25 : x
  2. Step 2: Convert to fraction form
    7,682.47/10,602.02 = 4,698.25/x
  3. Step 3: Cross multiply
    7,682.47x = 10,602.02 × 4,698.25
  4. Step 4: Simplify right side
    7,682.47x = 49,810,940.47
  5. Step 5: Solve for x
    x = 49,810,940.47/7,682.47
  6. Step 6: Final answer
    x = 6,483.71

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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.