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Finding the Fourth Proportional to 6,590.16, 9,847.44 and 6,467.04

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Solution

The fourth proportional to 6,590.16, 9,847.44 and 6,467.04 is: 9,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.16 : 9,847.44 = 6,467.04 : x
  2. Step 2: Convert to fraction form
    6,590.16/9,847.44 = 6,467.04/x
  3. Step 3: Cross multiply
    6,590.16x = 9,847.44 × 6,467.04
  4. Step 4: Simplify right side
    6,590.16x = 63,683,788.38
  5. Step 5: Solve for x
    x = 63,683,788.38/6,590.16
  6. Step 6: Final answer
    x = 9,663.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.