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Finding the Fourth Proportional to 9,888.96, 13,646.88 and 6,165.12

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Solution

The fourth proportional to 9,888.96, 13,646.88 and 6,165.12 is: 8,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.96 : 13,646.88 = 6,165.12 : x
  2. Step 2: Convert to fraction form
    9,888.96/13,646.88 = 6,165.12/x
  3. Step 3: Cross multiply
    9,888.96x = 13,646.88 × 6,165.12
  4. Step 4: Simplify right side
    9,888.96x = 84,134,652.83
  5. Step 5: Solve for x
    x = 84,134,652.83/9,888.96
  6. Step 6: Final answer
    x = 8,507.94

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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.