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Finding the Fourth Proportional to 7,570.80, 10,443.60 and 5,475.60

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Solution

The fourth proportional to 7,570.80, 10,443.60 and 5,475.60 is: 7,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.80 : 10,443.60 = 5,475.60 : x
  2. Step 2: Convert to fraction form
    7,570.80/10,443.60 = 5,475.60/x
  3. Step 3: Cross multiply
    7,570.80x = 10,443.60 × 5,475.60
  4. Step 4: Simplify right side
    7,570.80x = 57,184,976.16
  5. Step 5: Solve for x
    x = 57,184,976.16/7,570.80
  6. Step 6: Final answer
    x = 7,553.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.