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Finding the Fourth Proportional to 10,485.80, 15,728.70 and 6,338.60

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Solution

The fourth proportional to 10,485.80, 15,728.70 and 6,338.60 is: 9,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.80 : 15,728.70 = 6,338.60 : x
  2. Step 2: Convert to fraction form
    10,485.80/15,728.70 = 6,338.60/x
  3. Step 3: Cross multiply
    10,485.80x = 15,728.70 × 6,338.60
  4. Step 4: Simplify right side
    10,485.80x = 99,697,937.82
  5. Step 5: Solve for x
    x = 99,697,937.82/10,485.80
  6. Step 6: Final answer
    x = 9,507.90

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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.