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Finding the Fourth Proportional to 8,280.52, 11,428.74 and 4,746.10

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Solution

The fourth proportional to 8,280.52, 11,428.74 and 4,746.10 is: 6,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.52 : 11,428.74 = 4,746.10 : x
  2. Step 2: Convert to fraction form
    8,280.52/11,428.74 = 4,746.10/x
  3. Step 3: Cross multiply
    8,280.52x = 11,428.74 × 4,746.10
  4. Step 4: Simplify right side
    8,280.52x = 54,241,942.91
  5. Step 5: Solve for x
    x = 54,241,942.91/8,280.52
  6. Step 6: Final answer
    x = 6,550.55

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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.