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Finding the Fourth Proportional to 7,846.62, 10,828.53 and 4,310.16

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Solution

The fourth proportional to 7,846.62, 10,828.53 and 4,310.16 is: 5,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.62 : 10,828.53 = 4,310.16 : x
  2. Step 2: Convert to fraction form
    7,846.62/10,828.53 = 4,310.16/x
  3. Step 3: Cross multiply
    7,846.62x = 10,828.53 × 4,310.16
  4. Step 4: Simplify right side
    7,846.62x = 46,672,696.86
  5. Step 5: Solve for x
    x = 46,672,696.86/7,846.62
  6. Step 6: Final answer
    x = 5,948.13

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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.