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Finding the Fourth Proportional to 9,892.90, 13,652.20 and 5,416.93

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Solution

The fourth proportional to 9,892.90, 13,652.20 and 5,416.93 is: 7,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.90 : 13,652.20 = 5,416.93 : x
  2. Step 2: Convert to fraction form
    9,892.90/13,652.20 = 5,416.93/x
  3. Step 3: Cross multiply
    9,892.90x = 13,652.20 × 5,416.93
  4. Step 4: Simplify right side
    9,892.90x = 73,953,035.58
  5. Step 5: Solve for x
    x = 73,953,035.58/9,892.90
  6. Step 6: Final answer
    x = 7,475.36

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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.