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Finding the Fourth Proportional to 14,186.64, 19,577.36 and 7,899.02

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Solution

The fourth proportional to 14,186.64, 19,577.36 and 7,899.02 is: 10,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.64 : 19,577.36 = 7,899.02 : x
  2. Step 2: Convert to fraction form
    14,186.64/19,577.36 = 7,899.02/x
  3. Step 3: Cross multiply
    14,186.64x = 19,577.36 × 7,899.02
  4. Step 4: Simplify right side
    14,186.64x = 154,641,820.81
  5. Step 5: Solve for x
    x = 154,641,820.81/14,186.64
  6. Step 6: Final answer
    x = 10,900.52

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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.