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Finding the Fourth Proportional to 10,164, 14,024.70 and 6,186.38

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Solution

The fourth proportional to 10,164, 14,024.70 and 6,186.38 is: 8,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164 : 14,024.70 = 6,186.38 : x
  2. Step 2: Convert to fraction form
    10,164/14,024.70 = 6,186.38/x
  3. Step 3: Cross multiply
    10,164x = 14,024.70 × 6,186.38
  4. Step 4: Simplify right side
    10,164x = 86,762,123.59
  5. Step 5: Solve for x
    x = 86,762,123.59/10,164
  6. Step 6: Final answer
    x = 8,536.22

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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.