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Finding the Fourth Proportional to 8,406.34, 11,602.36 and 4,823.42

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Solution

The fourth proportional to 8,406.34, 11,602.36 and 4,823.42 is: 6,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.34 : 11,602.36 = 4,823.42 : x
  2. Step 2: Convert to fraction form
    8,406.34/11,602.36 = 4,823.42/x
  3. Step 3: Cross multiply
    8,406.34x = 11,602.36 × 4,823.42
  4. Step 4: Simplify right side
    8,406.34x = 55,963,055.27
  5. Step 5: Solve for x
    x = 55,963,055.27/8,406.34
  6. Step 6: Final answer
    x = 6,657.24

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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.