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Finding the Fourth Proportional to 10,599.48, 14,624.64 and 6,619.14

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Solution

The fourth proportional to 10,599.48, 14,624.64 and 6,619.14 is: 9,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.48 : 14,624.64 = 6,619.14 : x
  2. Step 2: Convert to fraction form
    10,599.48/14,624.64 = 6,619.14/x
  3. Step 3: Cross multiply
    10,599.48x = 14,624.64 × 6,619.14
  4. Step 4: Simplify right side
    10,599.48x = 96,802,539.61
  5. Step 5: Solve for x
    x = 96,802,539.61/10,599.48
  6. Step 6: Final answer
    x = 9,132.76

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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.