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Finding the Fourth Proportional to 10,493.75, 15,740.63 and 9,852.23

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Solution

The fourth proportional to 10,493.75, 15,740.63 and 9,852.23 is: 14,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.75 : 15,740.63 = 9,852.23 : x
  2. Step 2: Convert to fraction form
    10,493.75/15,740.63 = 9,852.23/x
  3. Step 3: Cross multiply
    10,493.75x = 15,740.63 × 9,852.23
  4. Step 4: Simplify right side
    10,493.75x = 155,080,334.14
  5. Step 5: Solve for x
    x = 155,080,334.14/10,493.75
  6. Step 6: Final answer
    x = 14,778.35

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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.