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Finding the Fourth Proportional to 8,333.79, 11,500.46 and 4,977.35

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Solution

The fourth proportional to 8,333.79, 11,500.46 and 4,977.35 is: 6,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.79 : 11,500.46 = 4,977.35 : x
  2. Step 2: Convert to fraction form
    8,333.79/11,500.46 = 4,977.35/x
  3. Step 3: Cross multiply
    8,333.79x = 11,500.46 × 4,977.35
  4. Step 4: Simplify right side
    8,333.79x = 57,241,814.58
  5. Step 5: Solve for x
    x = 57,241,814.58/8,333.79
  6. Step 6: Final answer
    x = 6,868.64

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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.