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Finding the Fourth Proportional to 9,381.84, 14,070.84 and 5,483.28

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Solution

The fourth proportional to 9,381.84, 14,070.84 and 5,483.28 is: 8,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.84 : 14,070.84 = 5,483.28 : x
  2. Step 2: Convert to fraction form
    9,381.84/14,070.84 = 5,483.28/x
  3. Step 3: Cross multiply
    9,381.84x = 14,070.84 × 5,483.28
  4. Step 4: Simplify right side
    9,381.84x = 77,154,355.56
  5. Step 5: Solve for x
    x = 77,154,355.56/9,381.84
  6. Step 6: Final answer
    x = 8,223.80

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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.