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Finding the Fourth Proportional to 10,730.16, 14,793.93 and 6,946.65

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Solution

The fourth proportional to 10,730.16, 14,793.93 and 6,946.65 is: 9,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.16 : 14,793.93 = 6,946.65 : x
  2. Step 2: Convert to fraction form
    10,730.16/14,793.93 = 6,946.65/x
  3. Step 3: Cross multiply
    10,730.16x = 14,793.93 × 6,946.65
  4. Step 4: Simplify right side
    10,730.16x = 102,768,253.83
  5. Step 5: Solve for x
    x = 102,768,253.83/10,730.16
  6. Step 6: Final answer
    x = 9,577.51

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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.