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Finding the Fourth Proportional to 6,184.81, 8,532.90 and 3,495.70

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Solution

The fourth proportional to 6,184.81, 8,532.90 and 3,495.70 is: 4,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.81 : 8,532.90 = 3,495.70 : x
  2. Step 2: Convert to fraction form
    6,184.81/8,532.90 = 3,495.70/x
  3. Step 3: Cross multiply
    6,184.81x = 8,532.90 × 3,495.70
  4. Step 4: Simplify right side
    6,184.81x = 29,828,458.53
  5. Step 5: Solve for x
    x = 29,828,458.53/6,184.81
  6. Step 6: Final answer
    x = 4,822.86

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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.