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Finding the Fourth Proportional to 7,594.76, 11,376.38 and 6,420.66

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Solution

The fourth proportional to 7,594.76, 11,376.38 and 6,420.66 is: 9,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.76 : 11,376.38 = 6,420.66 : x
  2. Step 2: Convert to fraction form
    7,594.76/11,376.38 = 6,420.66/x
  3. Step 3: Cross multiply
    7,594.76x = 11,376.38 × 6,420.66
  4. Step 4: Simplify right side
    7,594.76x = 73,043,835.91
  5. Step 5: Solve for x
    x = 73,043,835.91/7,594.76
  6. Step 6: Final answer
    x = 9,617.67

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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.