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Finding the Fourth Proportional to 10,600.30, 14,619.63 and 7,953.58

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Solution

The fourth proportional to 10,600.30, 14,619.63 and 7,953.58 is: 10,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.30 : 14,619.63 = 7,953.58 : x
  2. Step 2: Convert to fraction form
    10,600.30/14,619.63 = 7,953.58/x
  3. Step 3: Cross multiply
    10,600.30x = 14,619.63 × 7,953.58
  4. Step 4: Simplify right side
    10,600.30x = 116,278,396.78
  5. Step 5: Solve for x
    x = 116,278,396.78/10,600.30
  6. Step 6: Final answer
    x = 10,969.35

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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.