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Finding the Fourth Proportional to 9,350, 12,903.16 and 6,043.76

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Solution

The fourth proportional to 9,350, 12,903.16 and 6,043.76 is: 8,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350 : 12,903.16 = 6,043.76 : x
  2. Step 2: Convert to fraction form
    9,350/12,903.16 = 6,043.76/x
  3. Step 3: Cross multiply
    9,350x = 12,903.16 × 6,043.76
  4. Step 4: Simplify right side
    9,350x = 77,983,602.28
  5. Step 5: Solve for x
    x = 77,983,602.28/9,350
  6. Step 6: Final answer
    x = 8,340.49

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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.