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Finding the Fourth Proportional to 5,071.53, 7,594.86 and 4,188.63

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Solution

The fourth proportional to 5,071.53, 7,594.86 and 4,188.63 is: 6,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.53 : 7,594.86 = 4,188.63 : x
  2. Step 2: Convert to fraction form
    5,071.53/7,594.86 = 4,188.63/x
  3. Step 3: Cross multiply
    5,071.53x = 7,594.86 × 4,188.63
  4. Step 4: Simplify right side
    5,071.53x = 31,812,058.44
  5. Step 5: Solve for x
    x = 31,812,058.44/5,071.53
  6. Step 6: Final answer
    x = 6,272.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.