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Finding the Fourth Proportional to 7,004.96, 9,670.80 and 4,650.32

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Solution

The fourth proportional to 7,004.96, 9,670.80 and 4,650.32 is: 6,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.96 : 9,670.80 = 4,650.32 : x
  2. Step 2: Convert to fraction form
    7,004.96/9,670.80 = 4,650.32/x
  3. Step 3: Cross multiply
    7,004.96x = 9,670.80 × 4,650.32
  4. Step 4: Simplify right side
    7,004.96x = 44,972,314.66
  5. Step 5: Solve for x
    x = 44,972,314.66/7,004.96
  6. Step 6: Final answer
    x = 6,420.07

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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.