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Finding the Fourth Proportional to 7,846.38, 10,829.81 and 5,047.02

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Solution

The fourth proportional to 7,846.38, 10,829.81 and 5,047.02 is: 6,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.38 : 10,829.81 = 5,047.02 : x
  2. Step 2: Convert to fraction form
    7,846.38/10,829.81 = 5,047.02/x
  3. Step 3: Cross multiply
    7,846.38x = 10,829.81 × 5,047.02
  4. Step 4: Simplify right side
    7,846.38x = 54,658,267.67
  5. Step 5: Solve for x
    x = 54,658,267.67/7,846.38
  6. Step 6: Final answer
    x = 6,966.05

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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.