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Finding the Fourth Proportional to 4,602.50, 6,906.59 and 2,005.64

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Solution

The fourth proportional to 4,602.50, 6,906.59 and 2,005.64 is: 3,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.50 : 6,906.59 = 2,005.64 : x
  2. Step 2: Convert to fraction form
    4,602.50/6,906.59 = 2,005.64/x
  3. Step 3: Cross multiply
    4,602.50x = 6,906.59 × 2,005.64
  4. Step 4: Simplify right side
    4,602.50x = 13,852,088.61
  5. Step 5: Solve for x
    x = 13,852,088.61/4,602.50
  6. Step 6: Final answer
    x = 3,009.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.