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Finding the Fourth Proportional to 10,070, 13,896.60 and 5,654

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Solution

The fourth proportional to 10,070, 13,896.60 and 5,654 is: 7,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070 : 13,896.60 = 5,654 : x
  2. Step 2: Convert to fraction form
    10,070/13,896.60 = 5,654/x
  3. Step 3: Cross multiply
    10,070x = 13,896.60 × 5,654
  4. Step 4: Simplify right side
    10,070x = 78,571,376.40
  5. Step 5: Solve for x
    x = 78,571,376.40/10,070
  6. Step 6: Final answer
    x = 7,802.52

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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.