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Finding the Fourth Proportional to 4,955.16, 6,834.54 and 4,207.94

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Solution

The fourth proportional to 4,955.16, 6,834.54 and 4,207.94 is: 5,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.16 : 6,834.54 = 4,207.94 : x
  2. Step 2: Convert to fraction form
    4,955.16/6,834.54 = 4,207.94/x
  3. Step 3: Cross multiply
    4,955.16x = 6,834.54 × 4,207.94
  4. Step 4: Simplify right side
    4,955.16x = 28,759,334.25
  5. Step 5: Solve for x
    x = 28,759,334.25/4,955.16
  6. Step 6: Final answer
    x = 5,803.92

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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.