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Finding the Fourth Proportional to 9,626.72, 14,415.71 and 6,503.36

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Solution

The fourth proportional to 9,626.72, 14,415.71 and 6,503.36 is: 9,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.72 : 14,415.71 = 6,503.36 : x
  2. Step 2: Convert to fraction form
    9,626.72/14,415.71 = 6,503.36/x
  3. Step 3: Cross multiply
    9,626.72x = 14,415.71 × 6,503.36
  4. Step 4: Simplify right side
    9,626.72x = 93,750,447.19
  5. Step 5: Solve for x
    x = 93,750,447.19/9,626.72
  6. Step 6: Final answer
    x = 9,738.57

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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.