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Finding the Fourth Proportional to 5,657.18, 7,807.69 and 4,711.60

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Solution

The fourth proportional to 5,657.18, 7,807.69 and 4,711.60 is: 6,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.18 : 7,807.69 = 4,711.60 : x
  2. Step 2: Convert to fraction form
    5,657.18/7,807.69 = 4,711.60/x
  3. Step 3: Cross multiply
    5,657.18x = 7,807.69 × 4,711.60
  4. Step 4: Simplify right side
    5,657.18x = 36,786,727.85
  5. Step 5: Solve for x
    x = 36,786,727.85/5,657.18
  6. Step 6: Final answer
    x = 6,502.67

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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.