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Finding the Fourth Proportional to 5,312.39, 7,983.16 and 5,010.46

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Solution

The fourth proportional to 5,312.39, 7,983.16 and 5,010.46 is: 7,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.39 : 7,983.16 = 5,010.46 : x
  2. Step 2: Convert to fraction form
    5,312.39/7,983.16 = 5,010.46/x
  3. Step 3: Cross multiply
    5,312.39x = 7,983.16 × 5,010.46
  4. Step 4: Simplify right side
    5,312.39x = 39,999,271.37
  5. Step 5: Solve for x
    x = 39,999,271.37/5,312.39
  6. Step 6: Final answer
    x = 7,529.44

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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.