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Finding the Fourth Proportional to 7,118.64, 9,819.36 and 4,596.66

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Solution

The fourth proportional to 7,118.64, 9,819.36 and 4,596.66 is: 6,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.64 : 9,819.36 = 4,596.66 : x
  2. Step 2: Convert to fraction form
    7,118.64/9,819.36 = 4,596.66/x
  3. Step 3: Cross multiply
    7,118.64x = 9,819.36 × 4,596.66
  4. Step 4: Simplify right side
    7,118.64x = 45,136,259.34
  5. Step 5: Solve for x
    x = 45,136,259.34/7,118.64
  6. Step 6: Final answer
    x = 6,340.57

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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.