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Finding the Fourth Proportional to 6,505.40, 9,758.08 and 5,026.77

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Solution

The fourth proportional to 6,505.40, 9,758.08 and 5,026.77 is: 7,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.40 : 9,758.08 = 5,026.77 : x
  2. Step 2: Convert to fraction form
    6,505.40/9,758.08 = 5,026.77/x
  3. Step 3: Cross multiply
    6,505.40x = 9,758.08 × 5,026.77
  4. Step 4: Simplify right side
    6,505.40x = 49,051,549.88
  5. Step 5: Solve for x
    x = 49,051,549.88/6,505.40
  6. Step 6: Final answer
    x = 7,540.13

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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.