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Finding the Fourth Proportional to 6,923.78, 9,562.78 and 5,043.77

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Solution

The fourth proportional to 6,923.78, 9,562.78 and 5,043.77 is: 6,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.78 : 9,562.78 = 5,043.77 : x
  2. Step 2: Convert to fraction form
    6,923.78/9,562.78 = 5,043.77/x
  3. Step 3: Cross multiply
    6,923.78x = 9,562.78 × 5,043.77
  4. Step 4: Simplify right side
    6,923.78x = 48,232,457.23
  5. Step 5: Solve for x
    x = 48,232,457.23/6,923.78
  6. Step 6: Final answer
    x = 6,966.20

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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.