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Finding the Fourth Proportional to 6,707.50, 9,256.51 and 3,763.50

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Solution

The fourth proportional to 6,707.50, 9,256.51 and 3,763.50 is: 5,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.50 : 9,256.51 = 3,763.50 : x
  2. Step 2: Convert to fraction form
    6,707.50/9,256.51 = 3,763.50/x
  3. Step 3: Cross multiply
    6,707.50x = 9,256.51 × 3,763.50
  4. Step 4: Simplify right side
    6,707.50x = 34,836,875.39
  5. Step 5: Solve for x
    x = 34,836,875.39/6,707.50
  6. Step 6: Final answer
    x = 5,193.72

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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.