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Finding the Fourth Proportional to 4,713.18, 6,509.19 and 4,319.46

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Solution

The fourth proportional to 4,713.18, 6,509.19 and 4,319.46 is: 5,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.18 : 6,509.19 = 4,319.46 : x
  2. Step 2: Convert to fraction form
    4,713.18/6,509.19 = 4,319.46/x
  3. Step 3: Cross multiply
    4,713.18x = 6,509.19 × 4,319.46
  4. Step 4: Simplify right side
    4,713.18x = 28,116,185.84
  5. Step 5: Solve for x
    x = 28,116,185.84/4,713.18
  6. Step 6: Final answer
    x = 5,965.44

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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.