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Finding the Fourth Proportional to 6,580.53, 9,871.02 and 2,880.90

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Solution

The fourth proportional to 6,580.53, 9,871.02 and 2,880.90 is: 4,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.53 : 9,871.02 = 2,880.90 : x
  2. Step 2: Convert to fraction form
    6,580.53/9,871.02 = 2,880.90/x
  3. Step 3: Cross multiply
    6,580.53x = 9,871.02 × 2,880.90
  4. Step 4: Simplify right side
    6,580.53x = 28,437,421.52
  5. Step 5: Solve for x
    x = 28,437,421.52/6,580.53
  6. Step 6: Final answer
    x = 4,321.45

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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.