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Finding the Fourth Proportional to 11,469, 15,827.46 and 6,501

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Solution

The fourth proportional to 11,469, 15,827.46 and 6,501 is: 8,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469 : 15,827.46 = 6,501 : x
  2. Step 2: Convert to fraction form
    11,469/15,827.46 = 6,501/x
  3. Step 3: Cross multiply
    11,469x = 15,827.46 × 6,501
  4. Step 4: Simplify right side
    11,469x = 102,894,317.46
  5. Step 5: Solve for x
    x = 102,894,317.46/11,469
  6. Step 6: Final answer
    x = 8,971.52

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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.