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Finding the Fourth Proportional to 6,903.42, 9,525.38 and 4,775.64

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Solution

The fourth proportional to 6,903.42, 9,525.38 and 4,775.64 is: 6,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.42 : 9,525.38 = 4,775.64 : x
  2. Step 2: Convert to fraction form
    6,903.42/9,525.38 = 4,775.64/x
  3. Step 3: Cross multiply
    6,903.42x = 9,525.38 × 4,775.64
  4. Step 4: Simplify right side
    6,903.42x = 45,489,785.74
  5. Step 5: Solve for x
    x = 45,489,785.74/6,903.42
  6. Step 6: Final answer
    x = 6,589.46

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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.