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Finding the Fourth Proportional to 10,403.60, 15,619.80 and 8,214.80

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Solution

The fourth proportional to 10,403.60, 15,619.80 and 8,214.80 is: 12,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.60 : 15,619.80 = 8,214.80 : x
  2. Step 2: Convert to fraction form
    10,403.60/15,619.80 = 8,214.80/x
  3. Step 3: Cross multiply
    10,403.60x = 15,619.80 × 8,214.80
  4. Step 4: Simplify right side
    10,403.60x = 128,313,533.04
  5. Step 5: Solve for x
    x = 128,313,533.04/10,403.60
  6. Step 6: Final answer
    x = 12,333.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.