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Finding the Fourth Proportional to 4,916.72, 6,778.44 and 4,763.84

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Solution

The fourth proportional to 4,916.72, 6,778.44 and 4,763.84 is: 6,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.72 : 6,778.44 = 4,763.84 : x
  2. Step 2: Convert to fraction form
    4,916.72/6,778.44 = 4,763.84/x
  3. Step 3: Cross multiply
    4,916.72x = 6,778.44 × 4,763.84
  4. Step 4: Simplify right side
    4,916.72x = 32,291,403.61
  5. Step 5: Solve for x
    x = 32,291,403.61/4,916.72
  6. Step 6: Final answer
    x = 6,567.67

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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.