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Finding the Fourth Proportional to 4,672.60, 6,448.08 and 2,904.10

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Solution

The fourth proportional to 4,672.60, 6,448.08 and 2,904.10 is: 4,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.60 : 6,448.08 = 2,904.10 : x
  2. Step 2: Convert to fraction form
    4,672.60/6,448.08 = 2,904.10/x
  3. Step 3: Cross multiply
    4,672.60x = 6,448.08 × 2,904.10
  4. Step 4: Simplify right side
    4,672.60x = 18,725,869.13
  5. Step 5: Solve for x
    x = 18,725,869.13/4,672.60
  6. Step 6: Final answer
    x = 4,007.59

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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.