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Finding the Fourth Proportional to 5,106.48, 7,622.67 and 5,032.67

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Solution

The fourth proportional to 5,106.48, 7,622.67 and 5,032.67 is: 7,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.48 : 7,622.67 = 5,032.67 : x
  2. Step 2: Convert to fraction form
    5,106.48/7,622.67 = 5,032.67/x
  3. Step 3: Cross multiply
    5,106.48x = 7,622.67 × 5,032.67
  4. Step 4: Simplify right side
    5,106.48x = 38,362,363.39
  5. Step 5: Solve for x
    x = 38,362,363.39/5,106.48
  6. Step 6: Final answer
    x = 7,512.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.