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Finding the Fourth Proportional to 9,642.81, 14,464.22 and 3,069

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Solution

The fourth proportional to 9,642.81, 14,464.22 and 3,069 is: 4,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.81 : 14,464.22 = 3,069 : x
  2. Step 2: Convert to fraction form
    9,642.81/14,464.22 = 3,069/x
  3. Step 3: Cross multiply
    9,642.81x = 14,464.22 × 3,069
  4. Step 4: Simplify right side
    9,642.81x = 44,390,675.84
  5. Step 5: Solve for x
    x = 44,390,675.84/9,642.81
  6. Step 6: Final answer
    x = 4,603.50

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Double scale
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Similar ratio
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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.