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Finding the Fourth Proportional to 7,586.37, 10,470.15 and 4,602.03

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Solution

The fourth proportional to 7,586.37, 10,470.15 and 4,602.03 is: 6,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.37 : 10,470.15 = 4,602.03 : x
  2. Step 2: Convert to fraction form
    7,586.37/10,470.15 = 4,602.03/x
  3. Step 3: Cross multiply
    7,586.37x = 10,470.15 × 4,602.03
  4. Step 4: Simplify right side
    7,586.37x = 48,183,944.40
  5. Step 5: Solve for x
    x = 48,183,944.40/7,586.37
  6. Step 6: Final answer
    x = 6,351.38

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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.