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Finding the Fourth Proportional to 10,494.61, 14,495.57 and 7,618.75

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Solution

The fourth proportional to 10,494.61, 14,495.57 and 7,618.75 is: 10,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.61 : 14,495.57 = 7,618.75 : x
  2. Step 2: Convert to fraction form
    10,494.61/14,495.57 = 7,618.75/x
  3. Step 3: Cross multiply
    10,494.61x = 14,495.57 × 7,618.75
  4. Step 4: Simplify right side
    10,494.61x = 110,438,049.60
  5. Step 5: Solve for x
    x = 110,438,049.60/10,494.61
  6. Step 6: Final answer
    x = 10,523.31

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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.