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Finding the Fourth Proportional to 9,281.88, 12,809.06 and 5,090.13

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Solution

The fourth proportional to 9,281.88, 12,809.06 and 5,090.13 is: 7,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.88 : 12,809.06 = 5,090.13 : x
  2. Step 2: Convert to fraction form
    9,281.88/12,809.06 = 5,090.13/x
  3. Step 3: Cross multiply
    9,281.88x = 12,809.06 × 5,090.13
  4. Step 4: Simplify right side
    9,281.88x = 65,199,780.58
  5. Step 5: Solve for x
    x = 65,199,780.58/9,281.88
  6. Step 6: Final answer
    x = 7,024.42

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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.