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Finding the Fourth Proportional to 12,954.40, 19,434.24 and 7,410.40

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Solution

The fourth proportional to 12,954.40, 19,434.24 and 7,410.40 is: 11,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.40 : 19,434.24 = 7,410.40 : x
  2. Step 2: Convert to fraction form
    12,954.40/19,434.24 = 7,410.40/x
  3. Step 3: Cross multiply
    12,954.40x = 19,434.24 × 7,410.40
  4. Step 4: Simplify right side
    12,954.40x = 144,015,492.10
  5. Step 5: Solve for x
    x = 144,015,492.10/12,954.40
  6. Step 6: Final answer
    x = 11,117.11

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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.