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Finding the Fourth Proportional to 10,624.58, 14,661.24 and 6,645.50

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Solution

The fourth proportional to 10,624.58, 14,661.24 and 6,645.50 is: 9,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.58 : 14,661.24 = 6,645.50 : x
  2. Step 2: Convert to fraction form
    10,624.58/14,661.24 = 6,645.50/x
  3. Step 3: Cross multiply
    10,624.58x = 14,661.24 × 6,645.50
  4. Step 4: Simplify right side
    10,624.58x = 97,431,270.42
  5. Step 5: Solve for x
    x = 97,431,270.42/10,624.58
  6. Step 6: Final answer
    x = 9,170.36

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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.