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Finding the Fourth Proportional to 9,807.96, 13,534 and 5,558.68

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Solution

The fourth proportional to 9,807.96, 13,534 and 5,558.68 is: 7,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.96 : 13,534 = 5,558.68 : x
  2. Step 2: Convert to fraction form
    9,807.96/13,534 = 5,558.68/x
  3. Step 3: Cross multiply
    9,807.96x = 13,534 × 5,558.68
  4. Step 4: Simplify right side
    9,807.96x = 75,231,175.12
  5. Step 5: Solve for x
    x = 75,231,175.12/9,807.96
  6. Step 6: Final answer
    x = 7,670.42

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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.