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Finding the Fourth Proportional to 14,709, 22,070.82 and 9,160.94

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Solution

The fourth proportional to 14,709, 22,070.82 and 9,160.94 is: 13,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709 : 22,070.82 = 9,160.94 : x
  2. Step 2: Convert to fraction form
    14,709/22,070.82 = 9,160.94/x
  3. Step 3: Cross multiply
    14,709x = 22,070.82 × 9,160.94
  4. Step 4: Simplify right side
    14,709x = 202,189,457.77
  5. Step 5: Solve for x
    x = 202,189,457.77/14,709
  6. Step 6: Final answer
    x = 13,745.97

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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.