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Finding the Fourth Proportional to 8,045.29, 11,102.94 and 4,509.64

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Solution

The fourth proportional to 8,045.29, 11,102.94 and 4,509.64 is: 6,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.29 : 11,102.94 = 4,509.64 : x
  2. Step 2: Convert to fraction form
    8,045.29/11,102.94 = 4,509.64/x
  3. Step 3: Cross multiply
    8,045.29x = 11,102.94 × 4,509.64
  4. Step 4: Simplify right side
    8,045.29x = 50,070,262.34
  5. Step 5: Solve for x
    x = 50,070,262.34/8,045.29
  6. Step 6: Final answer
    x = 6,223.55

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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.