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Finding the Fourth Proportional to 11,597.79, 16,005.06 and 6,292.65

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Solution

The fourth proportional to 11,597.79, 16,005.06 and 6,292.65 is: 8,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.79 : 16,005.06 = 6,292.65 : x
  2. Step 2: Convert to fraction form
    11,597.79/16,005.06 = 6,292.65/x
  3. Step 3: Cross multiply
    11,597.79x = 16,005.06 × 6,292.65
  4. Step 4: Simplify right side
    11,597.79x = 100,714,240.81
  5. Step 5: Solve for x
    x = 100,714,240.81/11,597.79
  6. Step 6: Final answer
    x = 8,683.92

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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.