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Finding the Fourth Proportional to 14,780.16, 22,164.12 and 6,009.12

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Solution

The fourth proportional to 14,780.16, 22,164.12 and 6,009.12 is: 9,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.16 : 22,164.12 = 6,009.12 : x
  2. Step 2: Convert to fraction form
    14,780.16/22,164.12 = 6,009.12/x
  3. Step 3: Cross multiply
    14,780.16x = 22,164.12 × 6,009.12
  4. Step 4: Simplify right side
    14,780.16x = 133,186,856.77
  5. Step 5: Solve for x
    x = 133,186,856.77/14,780.16
  6. Step 6: Final answer
    x = 9,011.19

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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.