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Finding the Fourth Proportional to 10,494.36, 14,487.93 and 7,658.69

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Solution

The fourth proportional to 10,494.36, 14,487.93 and 7,658.69 is: 10,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.36 : 14,487.93 = 7,658.69 : x
  2. Step 2: Convert to fraction form
    10,494.36/14,487.93 = 7,658.69/x
  3. Step 3: Cross multiply
    10,494.36x = 14,487.93 × 7,658.69
  4. Step 4: Simplify right side
    10,494.36x = 110,958,492.17
  5. Step 5: Solve for x
    x = 110,958,492.17/10,494.36
  6. Step 6: Final answer
    x = 10,573.15

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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.