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Finding the Fourth Proportional to 7,671.85, 10,586.39 and 4,314.13

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Solution

The fourth proportional to 7,671.85, 10,586.39 and 4,314.13 is: 5,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.85 : 10,586.39 = 4,314.13 : x
  2. Step 2: Convert to fraction form
    7,671.85/10,586.39 = 4,314.13/x
  3. Step 3: Cross multiply
    7,671.85x = 10,586.39 × 4,314.13
  4. Step 4: Simplify right side
    7,671.85x = 45,671,041.12
  5. Step 5: Solve for x
    x = 45,671,041.12/7,671.85
  6. Step 6: Final answer
    x = 5,953.07

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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.