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Finding the Fourth Proportional to 9,975.36, 14,953.26 and 8,497.92

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Solution

The fourth proportional to 9,975.36, 14,953.26 and 8,497.92 is: 12,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.36 : 14,953.26 = 8,497.92 : x
  2. Step 2: Convert to fraction form
    9,975.36/14,953.26 = 8,497.92/x
  3. Step 3: Cross multiply
    9,975.36x = 14,953.26 × 8,497.92
  4. Step 4: Simplify right side
    9,975.36x = 127,071,607.22
  5. Step 5: Solve for x
    x = 127,071,607.22/9,975.36
  6. Step 6: Final answer
    x = 12,738.55

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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.