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Finding the Fourth Proportional to 10,169, 14,032.45 and 6,189.67

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Solution

The fourth proportional to 10,169, 14,032.45 and 6,189.67 is: 8,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169 : 14,032.45 = 6,189.67 : x
  2. Step 2: Convert to fraction form
    10,169/14,032.45 = 6,189.67/x
  3. Step 3: Cross multiply
    10,169x = 14,032.45 × 6,189.67
  4. Step 4: Simplify right side
    10,169x = 86,856,234.79
  5. Step 5: Solve for x
    x = 86,856,234.79/10,169
  6. Step 6: Final answer
    x = 8,541.28

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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.