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Finding the Fourth Proportional to 8,009.42, 12,005.63 and 4,724.06

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Solution

The fourth proportional to 8,009.42, 12,005.63 and 4,724.06 is: 7,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.42 : 12,005.63 = 4,724.06 : x
  2. Step 2: Convert to fraction form
    8,009.42/12,005.63 = 4,724.06/x
  3. Step 3: Cross multiply
    8,009.42x = 12,005.63 × 4,724.06
  4. Step 4: Simplify right side
    8,009.42x = 56,715,292.84
  5. Step 5: Solve for x
    x = 56,715,292.84/8,009.42
  6. Step 6: Final answer
    x = 7,081.07

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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.