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Finding the Fourth Proportional to 6,590.56, 9,096 and 4,235.20

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Solution

The fourth proportional to 6,590.56, 9,096 and 4,235.20 is: 5,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.56 : 9,096 = 4,235.20 : x
  2. Step 2: Convert to fraction form
    6,590.56/9,096 = 4,235.20/x
  3. Step 3: Cross multiply
    6,590.56x = 9,096 × 4,235.20
  4. Step 4: Simplify right side
    6,590.56x = 38,523,379.20
  5. Step 5: Solve for x
    x = 38,523,379.20/6,590.56
  6. Step 6: Final answer
    x = 5,845.24

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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.