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Finding the Fourth Proportional to 9,765.44, 14,643.72 and 3,100.01

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Solution

The fourth proportional to 9,765.44, 14,643.72 and 3,100.01 is: 4,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.44 : 14,643.72 = 3,100.01 : x
  2. Step 2: Convert to fraction form
    9,765.44/14,643.72 = 3,100.01/x
  3. Step 3: Cross multiply
    9,765.44x = 14,643.72 × 3,100.01
  4. Step 4: Simplify right side
    9,765.44x = 45,395,605.22
  5. Step 5: Solve for x
    x = 45,395,605.22/9,765.44
  6. Step 6: Final answer
    x = 4,648.60

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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.