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Finding the Fourth Proportional to 8,533.53, 12,802.71 and 6,195.87

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Solution

The fourth proportional to 8,533.53, 12,802.71 and 6,195.87 is: 9,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.53 : 12,802.71 = 6,195.87 : x
  2. Step 2: Convert to fraction form
    8,533.53/12,802.71 = 6,195.87/x
  3. Step 3: Cross multiply
    8,533.53x = 12,802.71 × 6,195.87
  4. Step 4: Simplify right side
    8,533.53x = 79,323,926.81
  5. Step 5: Solve for x
    x = 79,323,926.81/8,533.53
  6. Step 6: Final answer
    x = 9,295.56

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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.