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Finding the Fourth Proportional to 7,884.71, 10,896.56 and 6,466.20

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Solution

The fourth proportional to 7,884.71, 10,896.56 and 6,466.20 is: 8,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.71 : 10,896.56 = 6,466.20 : x
  2. Step 2: Convert to fraction form
    7,884.71/10,896.56 = 6,466.20/x
  3. Step 3: Cross multiply
    7,884.71x = 10,896.56 × 6,466.20
  4. Step 4: Simplify right side
    7,884.71x = 70,459,303.94
  5. Step 5: Solve for x
    x = 70,459,303.94/7,884.71
  6. Step 6: Final answer
    x = 8,936.20

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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.