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Finding the Fourth Proportional to 4,495.96, 6,746.98 and 1,574.28

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Solution

The fourth proportional to 4,495.96, 6,746.98 and 1,574.28 is: 2,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.96 : 6,746.98 = 1,574.28 : x
  2. Step 2: Convert to fraction form
    4,495.96/6,746.98 = 1,574.28/x
  3. Step 3: Cross multiply
    4,495.96x = 6,746.98 × 1,574.28
  4. Step 4: Simplify right side
    4,495.96x = 10,621,635.67
  5. Step 5: Solve for x
    x = 10,621,635.67/4,495.96
  6. Step 6: Final answer
    x = 2,362.48

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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.