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Finding the Fourth Proportional to 14,191.56, 19,582.86 and 8,225.10

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Solution

The fourth proportional to 14,191.56, 19,582.86 and 8,225.10 is: 11,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.56 : 19,582.86 = 8,225.10 : x
  2. Step 2: Convert to fraction form
    14,191.56/19,582.86 = 8,225.10/x
  3. Step 3: Cross multiply
    14,191.56x = 19,582.86 × 8,225.10
  4. Step 4: Simplify right side
    14,191.56x = 161,070,981.79
  5. Step 5: Solve for x
    x = 161,070,981.79/14,191.56
  6. Step 6: Final answer
    x = 11,349.77

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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.