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Finding the Fourth Proportional to 9,283.92, 12,807.05 and 6,096.76

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Solution

The fourth proportional to 9,283.92, 12,807.05 and 6,096.76 is: 8,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.92 : 12,807.05 = 6,096.76 : x
  2. Step 2: Convert to fraction form
    9,283.92/12,807.05 = 6,096.76/x
  3. Step 3: Cross multiply
    9,283.92x = 12,807.05 × 6,096.76
  4. Step 4: Simplify right side
    9,283.92x = 78,081,509.40
  5. Step 5: Solve for x
    x = 78,081,509.40/9,283.92
  6. Step 6: Final answer
    x = 8,410.40

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Half scale
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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.