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Finding the Fourth Proportional to 7,710.51, 11,584.80 and 4,938.39

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Solution

The fourth proportional to 7,710.51, 11,584.80 and 4,938.39 is: 7,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.51 : 11,584.80 = 4,938.39 : x
  2. Step 2: Convert to fraction form
    7,710.51/11,584.80 = 4,938.39/x
  3. Step 3: Cross multiply
    7,710.51x = 11,584.80 × 4,938.39
  4. Step 4: Simplify right side
    7,710.51x = 57,210,260.47
  5. Step 5: Solve for x
    x = 57,210,260.47/7,710.51
  6. Step 6: Final answer
    x = 7,419.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.