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Finding the Fourth Proportional to 9,603.44, 14,405.12 and 3,764.16

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Solution

The fourth proportional to 9,603.44, 14,405.12 and 3,764.16 is: 5,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.44 : 14,405.12 = 3,764.16 : x
  2. Step 2: Convert to fraction form
    9,603.44/14,405.12 = 3,764.16/x
  3. Step 3: Cross multiply
    9,603.44x = 14,405.12 × 3,764.16
  4. Step 4: Simplify right side
    9,603.44x = 54,223,176.50
  5. Step 5: Solve for x
    x = 54,223,176.50/9,603.44
  6. Step 6: Final answer
    x = 5,646.22

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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.