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Finding the Fourth Proportional to 16,465.84, 22,725.06 and 9,750.94

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Solution

The fourth proportional to 16,465.84, 22,725.06 and 9,750.94 is: 13,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.84 : 22,725.06 = 9,750.94 : x
  2. Step 2: Convert to fraction form
    16,465.84/22,725.06 = 9,750.94/x
  3. Step 3: Cross multiply
    16,465.84x = 22,725.06 × 9,750.94
  4. Step 4: Simplify right side
    16,465.84x = 221,590,696.56
  5. Step 5: Solve for x
    x = 221,590,696.56/16,465.84
  6. Step 6: Final answer
    x = 13,457.60

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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.