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Finding the Fourth Proportional to 7,755.84, 10,703.10 and 4,219.08

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Solution

The fourth proportional to 7,755.84, 10,703.10 and 4,219.08 is: 5,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.84 : 10,703.10 = 4,219.08 : x
  2. Step 2: Convert to fraction form
    7,755.84/10,703.10 = 4,219.08/x
  3. Step 3: Cross multiply
    7,755.84x = 10,703.10 × 4,219.08
  4. Step 4: Simplify right side
    7,755.84x = 45,157,235.15
  5. Step 5: Solve for x
    x = 45,157,235.15/7,755.84
  6. Step 6: Final answer
    x = 5,822.35

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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.