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Finding the Fourth Proportional to 14,854.56, 22,284.72 and 7,460.64

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Solution

The fourth proportional to 14,854.56, 22,284.72 and 7,460.64 is: 11,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.56 : 22,284.72 = 7,460.64 : x
  2. Step 2: Convert to fraction form
    14,854.56/22,284.72 = 7,460.64/x
  3. Step 3: Cross multiply
    14,854.56x = 22,284.72 × 7,460.64
  4. Step 4: Simplify right side
    14,854.56x = 166,258,273.42
  5. Step 5: Solve for x
    x = 166,258,273.42/14,854.56
  6. Step 6: Final answer
    x = 11,192.41

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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.