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Finding the Fourth Proportional to 9,674.94, 14,521.32 and 7,497.66

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Solution

The fourth proportional to 9,674.94, 14,521.32 and 7,497.66 is: 11,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.94 : 14,521.32 = 7,497.66 : x
  2. Step 2: Convert to fraction form
    9,674.94/14,521.32 = 7,497.66/x
  3. Step 3: Cross multiply
    9,674.94x = 14,521.32 × 7,497.66
  4. Step 4: Simplify right side
    9,674.94x = 108,875,920.11
  5. Step 5: Solve for x
    x = 108,875,920.11/9,674.94
  6. Step 6: Final answer
    x = 11,253.39

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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.