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Finding the Fourth Proportional to 7,833.88, 10,810.98 and 4,477

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Solution

The fourth proportional to 7,833.88, 10,810.98 and 4,477 is: 6,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.88 : 10,810.98 = 4,477 : x
  2. Step 2: Convert to fraction form
    7,833.88/10,810.98 = 4,477/x
  3. Step 3: Cross multiply
    7,833.88x = 10,810.98 × 4,477
  4. Step 4: Simplify right side
    7,833.88x = 48,400,757.46
  5. Step 5: Solve for x
    x = 48,400,757.46/7,833.88
  6. Step 6: Final answer
    x = 6,178.39

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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.