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Finding the Fourth Proportional to 8,365.34, 11,544.49 and 4,588.64

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Solution

The fourth proportional to 8,365.34, 11,544.49 and 4,588.64 is: 6,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.34 : 11,544.49 = 4,588.64 : x
  2. Step 2: Convert to fraction form
    8,365.34/11,544.49 = 4,588.64/x
  3. Step 3: Cross multiply
    8,365.34x = 11,544.49 × 4,588.64
  4. Step 4: Simplify right side
    8,365.34x = 52,973,499.90
  5. Step 5: Solve for x
    x = 52,973,499.90/8,365.34
  6. Step 6: Final answer
    x = 6,332.50

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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.