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Finding the Fourth Proportional to 14,956.96, 22,416.24 and 7,154.08

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Solution

The fourth proportional to 14,956.96, 22,416.24 and 7,154.08 is: 10,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.96 : 22,416.24 = 7,154.08 : x
  2. Step 2: Convert to fraction form
    14,956.96/22,416.24 = 7,154.08/x
  3. Step 3: Cross multiply
    14,956.96x = 22,416.24 × 7,154.08
  4. Step 4: Simplify right side
    14,956.96x = 160,367,574.26
  5. Step 5: Solve for x
    x = 160,367,574.26/14,956.96
  6. Step 6: Final answer
    x = 10,721.94

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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.