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Finding the Fourth Proportional to 7,738.02, 11,625.53 and 4,970.12

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Solution

The fourth proportional to 7,738.02, 11,625.53 and 4,970.12 is: 7,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.02 : 11,625.53 = 4,970.12 : x
  2. Step 2: Convert to fraction form
    7,738.02/11,625.53 = 4,970.12/x
  3. Step 3: Cross multiply
    7,738.02x = 11,625.53 × 4,970.12
  4. Step 4: Simplify right side
    7,738.02x = 57,780,196.19
  5. Step 5: Solve for x
    x = 57,780,196.19/7,738.02
  6. Step 6: Final answer
    x = 7,467.05

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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.