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Finding the Fourth Proportional to 9,603.36, 14,409.36 and 4,677.48

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Solution

The fourth proportional to 9,603.36, 14,409.36 and 4,677.48 is: 7,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.36 : 14,409.36 = 4,677.48 : x
  2. Step 2: Convert to fraction form
    9,603.36/14,409.36 = 4,677.48/x
  3. Step 3: Cross multiply
    9,603.36x = 14,409.36 × 4,677.48
  4. Step 4: Simplify right side
    9,603.36x = 67,399,493.21
  5. Step 5: Solve for x
    x = 67,399,493.21/9,603.36
  6. Step 6: Final answer
    x = 7,018.32

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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.