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Finding the Fourth Proportional to 14,193.10, 21,302.79 and 7,178.08

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Solution

The fourth proportional to 14,193.10, 21,302.79 and 7,178.08 is: 10,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.10 : 21,302.79 = 7,178.08 : x
  2. Step 2: Convert to fraction form
    14,193.10/21,302.79 = 7,178.08/x
  3. Step 3: Cross multiply
    14,193.10x = 21,302.79 × 7,178.08
  4. Step 4: Simplify right side
    14,193.10x = 152,913,130.84
  5. Step 5: Solve for x
    x = 152,913,130.84/14,193.10
  6. Step 6: Final answer
    x = 10,773.77

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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.