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Finding the Fourth Proportional to 37,643.76, 56,465.88 and 11,348.40

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Solution

The fourth proportional to 37,643.76, 56,465.88 and 11,348.40 is: 17,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.76 : 56,465.88 = 11,348.40 : x
  2. Step 2: Convert to fraction form
    37,643.76/56,465.88 = 11,348.40/x
  3. Step 3: Cross multiply
    37,643.76x = 56,465.88 × 11,348.40
  4. Step 4: Simplify right side
    37,643.76x = 640,797,392.59
  5. Step 5: Solve for x
    x = 640,797,392.59/37,643.76
  6. Step 6: Final answer
    x = 17,022.67

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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.