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Finding the Fourth Proportional to 9,312.93, 13,970.18 and 2,649.46

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Solution

The fourth proportional to 9,312.93, 13,970.18 and 2,649.46 is: 3,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.93 : 13,970.18 = 2,649.46 : x
  2. Step 2: Convert to fraction form
    9,312.93/13,970.18 = 2,649.46/x
  3. Step 3: Cross multiply
    9,312.93x = 13,970.18 × 2,649.46
  4. Step 4: Simplify right side
    9,312.93x = 37,013,433.10
  5. Step 5: Solve for x
    x = 37,013,433.10/9,312.93
  6. Step 6: Final answer
    x = 3,974.41

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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.