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Finding the Fourth Proportional to 16,425.16, 22,674.18 and 10,465

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Solution

The fourth proportional to 16,425.16, 22,674.18 and 10,465 is: 14,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.16 : 22,674.18 = 10,465 : x
  2. Step 2: Convert to fraction form
    16,425.16/22,674.18 = 10,465/x
  3. Step 3: Cross multiply
    16,425.16x = 22,674.18 × 10,465
  4. Step 4: Simplify right side
    16,425.16x = 237,285,293.70
  5. Step 5: Solve for x
    x = 237,285,293.70/16,425.16
  6. Step 6: Final answer
    x = 14,446.45

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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.