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Finding the Fourth Proportional to 4,652.42, 7,009.66 and 4,208.19

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Solution

The fourth proportional to 4,652.42, 7,009.66 and 4,208.19 is: 6,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.42 : 7,009.66 = 4,208.19 : x
  2. Step 2: Convert to fraction form
    4,652.42/7,009.66 = 4,208.19/x
  3. Step 3: Cross multiply
    4,652.42x = 7,009.66 × 4,208.19
  4. Step 4: Simplify right side
    4,652.42x = 29,497,981.12
  5. Step 5: Solve for x
    x = 29,497,981.12/4,652.42
  6. Step 6: Final answer
    x = 6,340.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.