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Finding the Fourth Proportional to 9,893.00, 13,652.10 and 5,416.94

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Solution

The fourth proportional to 9,893.00, 13,652.10 and 5,416.94 is: 7,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.00 : 13,652.10 = 5,416.94 : x
  2. Step 2: Convert to fraction form
    9,893.00/13,652.10 = 5,416.94/x
  3. Step 3: Cross multiply
    9,893.00x = 13,652.10 × 5,416.94
  4. Step 4: Simplify right side
    9,893.00x = 73,952,586.92
  5. Step 5: Solve for x
    x = 73,952,586.92/9,893.00
  6. Step 6: Final answer
    x = 7,475.25

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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.