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Finding the Fourth Proportional to 4,865.06, 7,259.63 and 4,341.46

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Solution

The fourth proportional to 4,865.06, 7,259.63 and 4,341.46 is: 6,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.06 : 7,259.63 = 4,341.46 : x
  2. Step 2: Convert to fraction form
    4,865.06/7,259.63 = 4,341.46/x
  3. Step 3: Cross multiply
    4,865.06x = 7,259.63 × 4,341.46
  4. Step 4: Simplify right side
    4,865.06x = 31,517,371.55
  5. Step 5: Solve for x
    x = 31,517,371.55/4,865.06
  6. Step 6: Final answer
    x = 6,478.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.