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Finding the Fourth Proportional to 14,473.96, 19,971.47 and 8,506.83

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Solution

The fourth proportional to 14,473.96, 19,971.47 and 8,506.83 is: 11,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.96 : 19,971.47 = 8,506.83 : x
  2. Step 2: Convert to fraction form
    14,473.96/19,971.47 = 8,506.83/x
  3. Step 3: Cross multiply
    14,473.96x = 19,971.47 × 8,506.83
  4. Step 4: Simplify right side
    14,473.96x = 169,893,846.51
  5. Step 5: Solve for x
    x = 169,893,846.51/14,473.96
  6. Step 6: Final answer
    x = 11,737.90

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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.