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Finding the Fourth Proportional to 10,477.65, 15,734.70 and 10,149.60

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Solution

The fourth proportional to 10,477.65, 15,734.70 and 10,149.60 is: 15,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.65 : 15,734.70 = 10,149.60 : x
  2. Step 2: Convert to fraction form
    10,477.65/15,734.70 = 10,149.60/x
  3. Step 3: Cross multiply
    10,477.65x = 15,734.70 × 10,149.60
  4. Step 4: Simplify right side
    10,477.65x = 159,700,911.12
  5. Step 5: Solve for x
    x = 159,700,911.12/10,477.65
  6. Step 6: Final answer
    x = 15,242.05

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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.