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Finding the Fourth Proportional to 7,644.52, 10,549.65 and 4,659.67

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Solution

The fourth proportional to 7,644.52, 10,549.65 and 4,659.67 is: 6,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.52 : 10,549.65 = 4,659.67 : x
  2. Step 2: Convert to fraction form
    7,644.52/10,549.65 = 4,659.67/x
  3. Step 3: Cross multiply
    7,644.52x = 10,549.65 × 4,659.67
  4. Step 4: Simplify right side
    7,644.52x = 49,157,887.62
  5. Step 5: Solve for x
    x = 49,157,887.62/7,644.52
  6. Step 6: Final answer
    x = 6,430.47

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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.