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Finding the Fourth Proportional to 9,969.30, 14,924.93 and 7,771.32

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Solution

The fourth proportional to 9,969.30, 14,924.93 and 7,771.32 is: 11,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.30 : 14,924.93 = 7,771.32 : x
  2. Step 2: Convert to fraction form
    9,969.30/14,924.93 = 7,771.32/x
  3. Step 3: Cross multiply
    9,969.30x = 14,924.93 × 7,771.32
  4. Step 4: Simplify right side
    9,969.30x = 115,986,368.15
  5. Step 5: Solve for x
    x = 115,986,368.15/9,969.30
  6. Step 6: Final answer
    x = 11,634.35

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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.