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Finding the Fourth Proportional to 12,603.24, 17,392.14 and 6,938.10

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Solution

The fourth proportional to 12,603.24, 17,392.14 and 6,938.10 is: 9,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.24 : 17,392.14 = 6,938.10 : x
  2. Step 2: Convert to fraction form
    12,603.24/17,392.14 = 6,938.10/x
  3. Step 3: Cross multiply
    12,603.24x = 17,392.14 × 6,938.10
  4. Step 4: Simplify right side
    12,603.24x = 120,668,406.53
  5. Step 5: Solve for x
    x = 120,668,406.53/12,603.24
  6. Step 6: Final answer
    x = 9,574.40

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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.