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Finding the Fourth Proportional to 7,065.32, 9,743.36 and 4,674.20

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Solution

The fourth proportional to 7,065.32, 9,743.36 and 4,674.20 is: 6,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.32 : 9,743.36 = 4,674.20 : x
  2. Step 2: Convert to fraction form
    7,065.32/9,743.36 = 4,674.20/x
  3. Step 3: Cross multiply
    7,065.32x = 9,743.36 × 4,674.20
  4. Step 4: Simplify right side
    7,065.32x = 45,542,341.22
  5. Step 5: Solve for x
    x = 45,542,341.22/7,065.32
  6. Step 6: Final answer
    x = 6,445.90

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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.