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Finding the Fourth Proportional to 7,152.35, 9,873.63 and 4,766.29

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Solution

The fourth proportional to 7,152.35, 9,873.63 and 4,766.29 is: 6,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.35 : 9,873.63 = 4,766.29 : x
  2. Step 2: Convert to fraction form
    7,152.35/9,873.63 = 4,766.29/x
  3. Step 3: Cross multiply
    7,152.35x = 9,873.63 × 4,766.29
  4. Step 4: Simplify right side
    7,152.35x = 47,060,614.79
  5. Step 5: Solve for x
    x = 47,060,614.79/7,152.35
  6. Step 6: Final answer
    x = 6,579.74

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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.