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Finding the Fourth Proportional to 6,574.77, 9,854.64 and 5,782.55

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Solution

The fourth proportional to 6,574.77, 9,854.64 and 5,782.55 is: 8,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.77 : 9,854.64 = 5,782.55 : x
  2. Step 2: Convert to fraction form
    6,574.77/9,854.64 = 5,782.55/x
  3. Step 3: Cross multiply
    6,574.77x = 9,854.64 × 5,782.55
  4. Step 4: Simplify right side
    6,574.77x = 56,984,899.26
  5. Step 5: Solve for x
    x = 56,984,899.26/6,574.77
  6. Step 6: Final answer
    x = 8,667.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.