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Finding the Fourth Proportional to 6,518.72, 9,730.64 and 6,037.44

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Solution

The fourth proportional to 6,518.72, 9,730.64 and 6,037.44 is: 9,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.72 : 9,730.64 = 6,037.44 : x
  2. Step 2: Convert to fraction form
    6,518.72/9,730.64 = 6,037.44/x
  3. Step 3: Cross multiply
    6,518.72x = 9,730.64 × 6,037.44
  4. Step 4: Simplify right side
    6,518.72x = 58,748,155.16
  5. Step 5: Solve for x
    x = 58,748,155.16/6,518.72
  6. Step 6: Final answer
    x = 9,012.22

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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.