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Finding the Fourth Proportional to 7,755.68, 10,703.12 and 4,444.32

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Solution

The fourth proportional to 7,755.68, 10,703.12 and 4,444.32 is: 6,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.68 : 10,703.12 = 4,444.32 : x
  2. Step 2: Convert to fraction form
    7,755.68/10,703.12 = 4,444.32/x
  3. Step 3: Cross multiply
    7,755.68x = 10,703.12 × 4,444.32
  4. Step 4: Simplify right side
    7,755.68x = 47,568,090.28
  5. Step 5: Solve for x
    x = 47,568,090.28/7,755.68
  6. Step 6: Final answer
    x = 6,133.32

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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.