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Finding the Fourth Proportional to 7,100.16, 9,799.68 and 4,740.48

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Solution

The fourth proportional to 7,100.16, 9,799.68 and 4,740.48 is: 6,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.16 : 9,799.68 = 4,740.48 : x
  2. Step 2: Convert to fraction form
    7,100.16/9,799.68 = 4,740.48/x
  3. Step 3: Cross multiply
    7,100.16x = 9,799.68 × 4,740.48
  4. Step 4: Simplify right side
    7,100.16x = 46,455,187.05
  5. Step 5: Solve for x
    x = 46,455,187.05/7,100.16
  6. Step 6: Final answer
    x = 6,542.84

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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.