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Finding the Fourth Proportional to 7,090.88, 9,783.54 and 4,219.16

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Solution

The fourth proportional to 7,090.88, 9,783.54 and 4,219.16 is: 5,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.88 : 9,783.54 = 4,219.16 : x
  2. Step 2: Convert to fraction form
    7,090.88/9,783.54 = 4,219.16/x
  3. Step 3: Cross multiply
    7,090.88x = 9,783.54 × 4,219.16
  4. Step 4: Simplify right side
    7,090.88x = 41,278,320.63
  5. Step 5: Solve for x
    x = 41,278,320.63/7,090.88
  6. Step 6: Final answer
    x = 5,821.33

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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.