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Finding the Fourth Proportional to 10,617.94, 14,652.94 and 5,838.08

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Solution

The fourth proportional to 10,617.94, 14,652.94 and 5,838.08 is: 8,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.94 : 14,652.94 = 5,838.08 : x
  2. Step 2: Convert to fraction form
    10,617.94/14,652.94 = 5,838.08/x
  3. Step 3: Cross multiply
    10,617.94x = 14,652.94 × 5,838.08
  4. Step 4: Simplify right side
    10,617.94x = 85,545,035.96
  5. Step 5: Solve for x
    x = 85,545,035.96/10,617.94
  6. Step 6: Final answer
    x = 8,056.65

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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.