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Finding the Fourth Proportional to 6,442.60, 9,663.90 and 1,762.60

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Solution

The fourth proportional to 6,442.60, 9,663.90 and 1,762.60 is: 2,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.60 : 9,663.90 = 1,762.60 : x
  2. Step 2: Convert to fraction form
    6,442.60/9,663.90 = 1,762.60/x
  3. Step 3: Cross multiply
    6,442.60x = 9,663.90 × 1,762.60
  4. Step 4: Simplify right side
    6,442.60x = 17,033,590.14
  5. Step 5: Solve for x
    x = 17,033,590.14/6,442.60
  6. Step 6: Final answer
    x = 2,643.90

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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.