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Finding the Fourth Proportional to 14,322.12, 19,762.92 and 7,948.32

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Solution

The fourth proportional to 14,322.12, 19,762.92 and 7,948.32 is: 10,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.12 : 19,762.92 = 7,948.32 : x
  2. Step 2: Convert to fraction form
    14,322.12/19,762.92 = 7,948.32/x
  3. Step 3: Cross multiply
    14,322.12x = 19,762.92 × 7,948.32
  4. Step 4: Simplify right side
    14,322.12x = 157,082,012.29
  5. Step 5: Solve for x
    x = 157,082,012.29/14,322.12
  6. Step 6: Final answer
    x = 10,967.79

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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.