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Finding the Fourth Proportional to 5,975.76, 8,964.84 and 2,513

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Solution

The fourth proportional to 5,975.76, 8,964.84 and 2,513 is: 3,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.76 : 8,964.84 = 2,513 : x
  2. Step 2: Convert to fraction form
    5,975.76/8,964.84 = 2,513/x
  3. Step 3: Cross multiply
    5,975.76x = 8,964.84 × 2,513
  4. Step 4: Simplify right side
    5,975.76x = 22,528,642.92
  5. Step 5: Solve for x
    x = 22,528,642.92/5,975.76
  6. Step 6: Final answer
    x = 3,770.00

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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.