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Finding the Fourth Proportional to 6,384.79, 8,815.26 and 5,710.47

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Solution

The fourth proportional to 6,384.79, 8,815.26 and 5,710.47 is: 7,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.79 : 8,815.26 = 5,710.47 : x
  2. Step 2: Convert to fraction form
    6,384.79/8,815.26 = 5,710.47/x
  3. Step 3: Cross multiply
    6,384.79x = 8,815.26 × 5,710.47
  4. Step 4: Simplify right side
    6,384.79x = 50,339,277.77
  5. Step 5: Solve for x
    x = 50,339,277.77/6,384.79
  6. Step 6: Final answer
    x = 7,884.25

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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.