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Finding the Fourth Proportional to 9,970.14, 13,750.92 and 9,299.46

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Solution

The fourth proportional to 9,970.14, 13,750.92 and 9,299.46 is: 12,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.14 : 13,750.92 = 9,299.46 : x
  2. Step 2: Convert to fraction form
    9,970.14/13,750.92 = 9,299.46/x
  3. Step 3: Cross multiply
    9,970.14x = 13,750.92 × 9,299.46
  4. Step 4: Simplify right side
    9,970.14x = 127,876,130.50
  5. Step 5: Solve for x
    x = 127,876,130.50/9,970.14
  6. Step 6: Final answer
    x = 12,825.91

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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.