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Finding the Fourth Proportional to 10,807.10, 16,197.02 and 5,797.05

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Solution

The fourth proportional to 10,807.10, 16,197.02 and 5,797.05 is: 8,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.10 : 16,197.02 = 5,797.05 : x
  2. Step 2: Convert to fraction form
    10,807.10/16,197.02 = 5,797.05/x
  3. Step 3: Cross multiply
    10,807.10x = 16,197.02 × 5,797.05
  4. Step 4: Simplify right side
    10,807.10x = 93,894,905.81
  5. Step 5: Solve for x
    x = 93,894,905.81/10,807.10
  6. Step 6: Final answer
    x = 8,688.26

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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.