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Finding the Fourth Proportional to 7,184.61, 9,914.13 and 4,200.03

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Solution

The fourth proportional to 7,184.61, 9,914.13 and 4,200.03 is: 5,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.61 : 9,914.13 = 4,200.03 : x
  2. Step 2: Convert to fraction form
    7,184.61/9,914.13 = 4,200.03/x
  3. Step 3: Cross multiply
    7,184.61x = 9,914.13 × 4,200.03
  4. Step 4: Simplify right side
    7,184.61x = 41,639,643.42
  5. Step 5: Solve for x
    x = 41,639,643.42/7,184.61
  6. Step 6: Final answer
    x = 5,795.67

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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.