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Finding the Fourth Proportional to 6,591.42, 9,878.58 and 4,934.94

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Solution

The fourth proportional to 6,591.42, 9,878.58 and 4,934.94 is: 7,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.42 : 9,878.58 = 4,934.94 : x
  2. Step 2: Convert to fraction form
    6,591.42/9,878.58 = 4,934.94/x
  3. Step 3: Cross multiply
    6,591.42x = 9,878.58 × 4,934.94
  4. Step 4: Simplify right side
    6,591.42x = 48,750,199.59
  5. Step 5: Solve for x
    x = 48,750,199.59/6,591.42
  6. Step 6: Final answer
    x = 7,396.01

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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.