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Finding the Fourth Proportional to 10,564.17, 14,578.34 and 5,848.48

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Solution

The fourth proportional to 10,564.17, 14,578.34 and 5,848.48 is: 8,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.17 : 14,578.34 = 5,848.48 : x
  2. Step 2: Convert to fraction form
    10,564.17/14,578.34 = 5,848.48/x
  3. Step 3: Cross multiply
    10,564.17x = 14,578.34 × 5,848.48
  4. Step 4: Simplify right side
    10,564.17x = 85,261,129.92
  5. Step 5: Solve for x
    x = 85,261,129.92/10,564.17
  6. Step 6: Final answer
    x = 8,070.78

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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.