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Finding the Fourth Proportional to 9,952.84, 14,900.10 and 6,981.04

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Solution

The fourth proportional to 9,952.84, 14,900.10 and 6,981.04 is: 10,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.84 : 14,900.10 = 6,981.04 : x
  2. Step 2: Convert to fraction form
    9,952.84/14,900.10 = 6,981.04/x
  3. Step 3: Cross multiply
    9,952.84x = 14,900.10 × 6,981.04
  4. Step 4: Simplify right side
    9,952.84x = 104,018,194.10
  5. Step 5: Solve for x
    x = 104,018,194.10/9,952.84
  6. Step 6: Final answer
    x = 10,451.11

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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.