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Finding the Fourth Proportional to 9,920.34, 14,880.42 and 2,994.84

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Solution

The fourth proportional to 9,920.34, 14,880.42 and 2,994.84 is: 4,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.34 : 14,880.42 = 2,994.84 : x
  2. Step 2: Convert to fraction form
    9,920.34/14,880.42 = 2,994.84/x
  3. Step 3: Cross multiply
    9,920.34x = 14,880.42 × 2,994.84
  4. Step 4: Simplify right side
    9,920.34x = 44,564,477.03
  5. Step 5: Solve for x
    x = 44,564,477.03/9,920.34
  6. Step 6: Final answer
    x = 4,492.23

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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.