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Finding the Fourth Proportional to 9,324.84, 13,958.28 and 6,970.98

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Solution

The fourth proportional to 9,324.84, 13,958.28 and 6,970.98 is: 10,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.84 : 13,958.28 = 6,970.98 : x
  2. Step 2: Convert to fraction form
    9,324.84/13,958.28 = 6,970.98/x
  3. Step 3: Cross multiply
    9,324.84x = 13,958.28 × 6,970.98
  4. Step 4: Simplify right side
    9,324.84x = 97,302,890.71
  5. Step 5: Solve for x
    x = 97,302,890.71/9,324.84
  6. Step 6: Final answer
    x = 10,434.81

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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.