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Finding the Fourth Proportional to 11,924.40, 16,458 and 7,614.72

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Solution

The fourth proportional to 11,924.40, 16,458 and 7,614.72 is: 10,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.40 : 16,458 = 7,614.72 : x
  2. Step 2: Convert to fraction form
    11,924.40/16,458 = 7,614.72/x
  3. Step 3: Cross multiply
    11,924.40x = 16,458 × 7,614.72
  4. Step 4: Simplify right side
    11,924.40x = 125,323,061.76
  5. Step 5: Solve for x
    x = 125,323,061.76/11,924.40
  6. Step 6: Final answer
    x = 10,509.80

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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.