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Finding the Fourth Proportional to 5,763.02, 7,946.43 and 5,010.38

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Solution

The fourth proportional to 5,763.02, 7,946.43 and 5,010.38 is: 6,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.02 : 7,946.43 = 5,010.38 : x
  2. Step 2: Convert to fraction form
    5,763.02/7,946.43 = 5,010.38/x
  3. Step 3: Cross multiply
    5,763.02x = 7,946.43 × 5,010.38
  4. Step 4: Simplify right side
    5,763.02x = 39,814,633.94
  5. Step 5: Solve for x
    x = 39,814,633.94/5,763.02
  6. Step 6: Final answer
    x = 6,908.64

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Double scale
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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.