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Finding the Fourth Proportional to 9,558.96, 14,340.96 and 6,005.16

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Solution

The fourth proportional to 9,558.96, 14,340.96 and 6,005.16 is: 9,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.96 : 14,340.96 = 6,005.16 : x
  2. Step 2: Convert to fraction form
    9,558.96/14,340.96 = 6,005.16/x
  3. Step 3: Cross multiply
    9,558.96x = 14,340.96 × 6,005.16
  4. Step 4: Simplify right side
    9,558.96x = 86,119,759.35
  5. Step 5: Solve for x
    x = 86,119,759.35/9,558.96
  6. Step 6: Final answer
    x = 9,009.32

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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.