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Finding the Fourth Proportional to 7,682.64, 10,602.06 and 4,325.50

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Solution

The fourth proportional to 7,682.64, 10,602.06 and 4,325.50 is: 5,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.64 : 10,602.06 = 4,325.50 : x
  2. Step 2: Convert to fraction form
    7,682.64/10,602.06 = 4,325.50/x
  3. Step 3: Cross multiply
    7,682.64x = 10,602.06 × 4,325.50
  4. Step 4: Simplify right side
    7,682.64x = 45,859,210.53
  5. Step 5: Solve for x
    x = 45,859,210.53/7,682.64
  6. Step 6: Final answer
    x = 5,969.20

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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.