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Finding the Fourth Proportional to 17,603.64, 24,293.01 and 9,646.14

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Solution

The fourth proportional to 17,603.64, 24,293.01 and 9,646.14 is: 13,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.64 : 24,293.01 = 9,646.14 : x
  2. Step 2: Convert to fraction form
    17,603.64/24,293.01 = 9,646.14/x
  3. Step 3: Cross multiply
    17,603.64x = 24,293.01 × 9,646.14
  4. Step 4: Simplify right side
    17,603.64x = 234,333,775.48
  5. Step 5: Solve for x
    x = 234,333,775.48/17,603.64
  6. Step 6: Final answer
    x = 13,311.67

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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.