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Finding the Fourth Proportional to 10,603.74, 14,584.47 and 8,503.26

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Solution

The fourth proportional to 10,603.74, 14,584.47 and 8,503.26 is: 11,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.74 : 14,584.47 = 8,503.26 : x
  2. Step 2: Convert to fraction form
    10,603.74/14,584.47 = 8,503.26/x
  3. Step 3: Cross multiply
    10,603.74x = 14,584.47 × 8,503.26
  4. Step 4: Simplify right side
    10,603.74x = 124,015,540.37
  5. Step 5: Solve for x
    x = 124,015,540.37/10,603.74
  6. Step 6: Final answer
    x = 11,695.45

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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.