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Finding the Fourth Proportional to 7,682.85, 10,602.45 and 4,698.05

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Solution

The fourth proportional to 7,682.85, 10,602.45 and 4,698.05 is: 6,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.85 : 10,602.45 = 4,698.05 : x
  2. Step 2: Convert to fraction form
    7,682.85/10,602.45 = 4,698.05/x
  3. Step 3: Cross multiply
    7,682.85x = 10,602.45 × 4,698.05
  4. Step 4: Simplify right side
    7,682.85x = 49,810,787.21
  5. Step 5: Solve for x
    x = 49,810,787.21/7,682.85
  6. Step 6: Final answer
    x = 6,483.37

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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.