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Finding the Fourth Proportional to 7,005.30, 9,670.23 and 4,650.63

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Solution

The fourth proportional to 7,005.30, 9,670.23 and 4,650.63 is: 6,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.30 : 9,670.23 = 4,650.63 : x
  2. Step 2: Convert to fraction form
    7,005.30/9,670.23 = 4,650.63/x
  3. Step 3: Cross multiply
    7,005.30x = 9,670.23 × 4,650.63
  4. Step 4: Simplify right side
    7,005.30x = 44,972,661.74
  5. Step 5: Solve for x
    x = 44,972,661.74/7,005.30
  6. Step 6: Final answer
    x = 6,419.81

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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.