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Finding the Fourth Proportional to 6,155.64, 9,275.01 and 5,084.01

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Solution

The fourth proportional to 6,155.64, 9,275.01 and 5,084.01 is: 7,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.64 : 9,275.01 = 5,084.01 : x
  2. Step 2: Convert to fraction form
    6,155.64/9,275.01 = 5,084.01/x
  3. Step 3: Cross multiply
    6,155.64x = 9,275.01 × 5,084.01
  4. Step 4: Simplify right side
    6,155.64x = 47,154,243.59
  5. Step 5: Solve for x
    x = 47,154,243.59/6,155.64
  6. Step 6: Final answer
    x = 7,660.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.