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Finding the Fourth Proportional to 9,295.68, 12,826.40 and 6,817.60

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Solution

The fourth proportional to 9,295.68, 12,826.40 and 6,817.60 is: 9,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.68 : 12,826.40 = 6,817.60 : x
  2. Step 2: Convert to fraction form
    9,295.68/12,826.40 = 6,817.60/x
  3. Step 3: Cross multiply
    9,295.68x = 12,826.40 × 6,817.60
  4. Step 4: Simplify right side
    9,295.68x = 87,445,264.64
  5. Step 5: Solve for x
    x = 87,445,264.64/9,295.68
  6. Step 6: Final answer
    x = 9,407.09

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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.