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Finding the Fourth Proportional to 7,827.46, 10,803 and 4,844.25

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Solution

The fourth proportional to 7,827.46, 10,803 and 4,844.25 is: 6,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.46 : 10,803 = 4,844.25 : x
  2. Step 2: Convert to fraction form
    7,827.46/10,803 = 4,844.25/x
  3. Step 3: Cross multiply
    7,827.46x = 10,803 × 4,844.25
  4. Step 4: Simplify right side
    7,827.46x = 52,332,432.75
  5. Step 5: Solve for x
    x = 52,332,432.75/7,827.46
  6. Step 6: Final answer
    x = 6,685.75

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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.