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Finding the Fourth Proportional to 9,295.28, 12,833.28 and 6,461.84

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Solution

The fourth proportional to 9,295.28, 12,833.28 and 6,461.84 is: 8,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.28 : 12,833.28 = 6,461.84 : x
  2. Step 2: Convert to fraction form
    9,295.28/12,833.28 = 6,461.84/x
  3. Step 3: Cross multiply
    9,295.28x = 12,833.28 × 6,461.84
  4. Step 4: Simplify right side
    9,295.28x = 82,926,602.04
  5. Step 5: Solve for x
    x = 82,926,602.04/9,295.28
  6. Step 6: Final answer
    x = 8,921.37

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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.