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Finding the Fourth Proportional to 7,186.68, 9,922.53 and 4,498.98

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Solution

The fourth proportional to 7,186.68, 9,922.53 and 4,498.98 is: 6,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.68 : 9,922.53 = 4,498.98 : x
  2. Step 2: Convert to fraction form
    7,186.68/9,922.53 = 4,498.98/x
  3. Step 3: Cross multiply
    7,186.68x = 9,922.53 × 4,498.98
  4. Step 4: Simplify right side
    7,186.68x = 44,641,264.02
  5. Step 5: Solve for x
    x = 44,641,264.02/7,186.68
  6. Step 6: Final answer
    x = 6,211.67

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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.