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Finding the Fourth Proportional to 7,652.04, 11,455.78 and 5,686.38

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Solution

The fourth proportional to 7,652.04, 11,455.78 and 5,686.38 is: 8,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.04 : 11,455.78 = 5,686.38 : x
  2. Step 2: Convert to fraction form
    7,652.04/11,455.78 = 5,686.38/x
  3. Step 3: Cross multiply
    7,652.04x = 11,455.78 × 5,686.38
  4. Step 4: Simplify right side
    7,652.04x = 65,141,918.28
  5. Step 5: Solve for x
    x = 65,141,918.28/7,652.04
  6. Step 6: Final answer
    x = 8,513.01

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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.