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Finding the Fourth Proportional to 14,074.84, 19,423.20 and 7,787.08

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Solution

The fourth proportional to 14,074.84, 19,423.20 and 7,787.08 is: 10,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.84 : 19,423.20 = 7,787.08 : x
  2. Step 2: Convert to fraction form
    14,074.84/19,423.20 = 7,787.08/x
  3. Step 3: Cross multiply
    14,074.84x = 19,423.20 × 7,787.08
  4. Step 4: Simplify right side
    14,074.84x = 151,250,012.26
  5. Step 5: Solve for x
    x = 151,250,012.26/14,074.84
  6. Step 6: Final answer
    x = 10,746.13

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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.