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Finding the Fourth Proportional to 6,570.37, 9,830.85 and 3,928.15

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Solution

The fourth proportional to 6,570.37, 9,830.85 and 3,928.15 is: 5,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.37 : 9,830.85 = 3,928.15 : x
  2. Step 2: Convert to fraction form
    6,570.37/9,830.85 = 3,928.15/x
  3. Step 3: Cross multiply
    6,570.37x = 9,830.85 × 3,928.15
  4. Step 4: Simplify right side
    6,570.37x = 38,617,053.43
  5. Step 5: Solve for x
    x = 38,617,053.43/6,570.37
  6. Step 6: Final answer
    x = 5,877.45

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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.