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Finding the Fourth Proportional to 10,495.74, 14,485.14 and 7,838.53

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Solution

The fourth proportional to 10,495.74, 14,485.14 and 7,838.53 is: 10,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.74 : 14,485.14 = 7,838.53 : x
  2. Step 2: Convert to fraction form
    10,495.74/14,485.14 = 7,838.53/x
  3. Step 3: Cross multiply
    10,495.74x = 14,485.14 × 7,838.53
  4. Step 4: Simplify right side
    10,495.74x = 113,542,204.44
  5. Step 5: Solve for x
    x = 113,542,204.44/10,495.74
  6. Step 6: Final answer
    x = 10,817.93

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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.