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Finding the Fourth Proportional to 6,917.94, 9,541.53 and 4,264.38

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Solution

The fourth proportional to 6,917.94, 9,541.53 and 4,264.38 is: 5,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.94 : 9,541.53 = 4,264.38 : x
  2. Step 2: Convert to fraction form
    6,917.94/9,541.53 = 4,264.38/x
  3. Step 3: Cross multiply
    6,917.94x = 9,541.53 × 4,264.38
  4. Step 4: Simplify right side
    6,917.94x = 40,688,709.70
  5. Step 5: Solve for x
    x = 40,688,709.70/6,917.94
  6. Step 6: Final answer
    x = 5,881.62

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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.