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Finding the Fourth Proportional to 9,887.42, 14,833.10 and 3,647.45

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Solution

The fourth proportional to 9,887.42, 14,833.10 and 3,647.45 is: 5,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.42 : 14,833.10 = 3,647.45 : x
  2. Step 2: Convert to fraction form
    9,887.42/14,833.10 = 3,647.45/x
  3. Step 3: Cross multiply
    9,887.42x = 14,833.10 × 3,647.45
  4. Step 4: Simplify right side
    9,887.42x = 54,102,898.19
  5. Step 5: Solve for x
    x = 54,102,898.19/9,887.42
  6. Step 6: Final answer
    x = 5,471.90

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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.