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Finding the Fourth Proportional to 7,597.64, 10,480.37 and 4,570.66

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Solution

The fourth proportional to 7,597.64, 10,480.37 and 4,570.66 is: 6,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.64 : 10,480.37 = 4,570.66 : x
  2. Step 2: Convert to fraction form
    7,597.64/10,480.37 = 4,570.66/x
  3. Step 3: Cross multiply
    7,597.64x = 10,480.37 × 4,570.66
  4. Step 4: Simplify right side
    7,597.64x = 47,902,198.19
  5. Step 5: Solve for x
    x = 47,902,198.19/7,597.64
  6. Step 6: Final answer
    x = 6,304.88

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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.