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Finding the Fourth Proportional to 10,774.24, 14,863.74 and 6,580

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Solution

The fourth proportional to 10,774.24, 14,863.74 and 6,580 is: 9,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.24 : 14,863.74 = 6,580 : x
  2. Step 2: Convert to fraction form
    10,774.24/14,863.74 = 6,580/x
  3. Step 3: Cross multiply
    10,774.24x = 14,863.74 × 6,580
  4. Step 4: Simplify right side
    10,774.24x = 97,803,409.20
  5. Step 5: Solve for x
    x = 97,803,409.20/10,774.24
  6. Step 6: Final answer
    x = 9,077.52

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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.