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Finding the Fourth Proportional to 14,160.84, 19,542.90 and 9,453

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Solution

The fourth proportional to 14,160.84, 19,542.90 and 9,453 is: 13,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.84 : 19,542.90 = 9,453 : x
  2. Step 2: Convert to fraction form
    14,160.84/19,542.90 = 9,453/x
  3. Step 3: Cross multiply
    14,160.84x = 19,542.90 × 9,453
  4. Step 4: Simplify right side
    14,160.84x = 184,739,033.70
  5. Step 5: Solve for x
    x = 184,739,033.70/14,160.84
  6. Step 6: Final answer
    x = 13,045.77

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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.