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Finding the Fourth Proportional to 14,258.63, 19,677.33 and 7,971.01

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Solution

The fourth proportional to 14,258.63, 19,677.33 and 7,971.01 is: 11,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.63 : 19,677.33 = 7,971.01 : x
  2. Step 2: Convert to fraction form
    14,258.63/19,677.33 = 7,971.01/x
  3. Step 3: Cross multiply
    14,258.63x = 19,677.33 × 7,971.01
  4. Step 4: Simplify right side
    14,258.63x = 156,848,145.01
  5. Step 5: Solve for x
    x = 156,848,145.01/14,258.63
  6. Step 6: Final answer
    x = 11,000.22

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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.