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Finding the Fourth Proportional to 10,200.80, 15,316.68 and 9,699.68

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Solution

The fourth proportional to 10,200.80, 15,316.68 and 9,699.68 is: 14,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.80 : 15,316.68 = 9,699.68 : x
  2. Step 2: Convert to fraction form
    10,200.80/15,316.68 = 9,699.68/x
  3. Step 3: Cross multiply
    10,200.80x = 15,316.68 × 9,699.68
  4. Step 4: Simplify right side
    10,200.80x = 148,566,894.66
  5. Step 5: Solve for x
    x = 148,566,894.66/10,200.80
  6. Step 6: Final answer
    x = 14,564.24

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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.