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Finding the Fourth Proportional to 24,603.80, 36,899.70 and 7,071.80

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Solution

The fourth proportional to 24,603.80, 36,899.70 and 7,071.80 is: 10,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.80 : 36,899.70 = 7,071.80 : x
  2. Step 2: Convert to fraction form
    24,603.80/36,899.70 = 7,071.80/x
  3. Step 3: Cross multiply
    24,603.80x = 36,899.70 × 7,071.80
  4. Step 4: Simplify right side
    24,603.80x = 260,947,298.46
  5. Step 5: Solve for x
    x = 260,947,298.46/24,603.80
  6. Step 6: Final answer
    x = 10,605.98

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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.