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Finding the Fourth Proportional to 7,772.58, 10,726.29 and 4,235.94

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Solution

The fourth proportional to 7,772.58, 10,726.29 and 4,235.94 is: 5,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.58 : 10,726.29 = 4,235.94 : x
  2. Step 2: Convert to fraction form
    7,772.58/10,726.29 = 4,235.94/x
  3. Step 3: Cross multiply
    7,772.58x = 10,726.29 × 4,235.94
  4. Step 4: Simplify right side
    7,772.58x = 45,435,920.86
  5. Step 5: Solve for x
    x = 45,435,920.86/7,772.58
  6. Step 6: Final answer
    x = 5,845.67

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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.