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Finding the Fourth Proportional to 7,846.50, 10,828.25 and 4,261.50

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Solution

The fourth proportional to 7,846.50, 10,828.25 and 4,261.50 is: 5,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.50 : 10,828.25 = 4,261.50 : x
  2. Step 2: Convert to fraction form
    7,846.50/10,828.25 = 4,261.50/x
  3. Step 3: Cross multiply
    7,846.50x = 10,828.25 × 4,261.50
  4. Step 4: Simplify right side
    7,846.50x = 46,144,587.38
  5. Step 5: Solve for x
    x = 46,144,587.38/7,846.50
  6. Step 6: Final answer
    x = 5,880.91

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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.