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Finding the Fourth Proportional to 8,406.96, 11,598.87 and 4,869.48

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Solution

The fourth proportional to 8,406.96, 11,598.87 and 4,869.48 is: 6,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.96 : 11,598.87 = 4,869.48 : x
  2. Step 2: Convert to fraction form
    8,406.96/11,598.87 = 4,869.48/x
  3. Step 3: Cross multiply
    8,406.96x = 11,598.87 × 4,869.48
  4. Step 4: Simplify right side
    8,406.96x = 56,480,465.49
  5. Step 5: Solve for x
    x = 56,480,465.49/8,406.96
  6. Step 6: Final answer
    x = 6,718.30

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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.