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Finding the Fourth Proportional to 7,133.76, 9,851.76 and 4,901.28

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Solution

The fourth proportional to 7,133.76, 9,851.76 and 4,901.28 is: 6,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.76 : 9,851.76 = 4,901.28 : x
  2. Step 2: Convert to fraction form
    7,133.76/9,851.76 = 4,901.28/x
  3. Step 3: Cross multiply
    7,133.76x = 9,851.76 × 4,901.28
  4. Step 4: Simplify right side
    7,133.76x = 48,286,234.25
  5. Step 5: Solve for x
    x = 48,286,234.25/7,133.76
  6. Step 6: Final answer
    x = 6,768.69

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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.