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Finding the Fourth Proportional to 10,303.84, 14,279.17 and 10,106.92

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Solution

The fourth proportional to 10,303.84, 14,279.17 and 10,106.92 is: 14,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.84 : 14,279.17 = 10,106.92 : x
  2. Step 2: Convert to fraction form
    10,303.84/14,279.17 = 10,106.92/x
  3. Step 3: Cross multiply
    10,303.84x = 14,279.17 × 10,106.92
  4. Step 4: Simplify right side
    10,303.84x = 144,318,428.86
  5. Step 5: Solve for x
    x = 144,318,428.86/10,303.84
  6. Step 6: Final answer
    x = 14,006.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.