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Finding the Fourth Proportional to 6,097.53, 8,412.04 and 4,104.63

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Solution

The fourth proportional to 6,097.53, 8,412.04 and 4,104.63 is: 5,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.53 : 8,412.04 = 4,104.63 : x
  2. Step 2: Convert to fraction form
    6,097.53/8,412.04 = 4,104.63/x
  3. Step 3: Cross multiply
    6,097.53x = 8,412.04 × 4,104.63
  4. Step 4: Simplify right side
    6,097.53x = 34,528,301.48
  5. Step 5: Solve for x
    x = 34,528,301.48/6,097.53
  6. Step 6: Final answer
    x = 5,662.67

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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.