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Finding the Fourth Proportional to 7,846.51, 10,828.14 and 4,261.54

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Solution

The fourth proportional to 7,846.51, 10,828.14 and 4,261.54 is: 5,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.51 : 10,828.14 = 4,261.54 : x
  2. Step 2: Convert to fraction form
    7,846.51/10,828.14 = 4,261.54/x
  3. Step 3: Cross multiply
    7,846.51x = 10,828.14 × 4,261.54
  4. Step 4: Simplify right side
    7,846.51x = 46,144,551.74
  5. Step 5: Solve for x
    x = 46,144,551.74/7,846.51
  6. Step 6: Final answer
    x = 5,880.90

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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.