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Finding the Fourth Proportional to 8,300.64, 11,454.87 and 4,574.64

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Solution

The fourth proportional to 8,300.64, 11,454.87 and 4,574.64 is: 6,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.64 : 11,454.87 = 4,574.64 : x
  2. Step 2: Convert to fraction form
    8,300.64/11,454.87 = 4,574.64/x
  3. Step 3: Cross multiply
    8,300.64x = 11,454.87 × 4,574.64
  4. Step 4: Simplify right side
    8,300.64x = 52,401,906.50
  5. Step 5: Solve for x
    x = 52,401,906.50/8,300.64
  6. Step 6: Final answer
    x = 6,313.00

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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.