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Finding the Fourth Proportional to 9,946.40, 14,924.40 and 7,605.60

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Solution

The fourth proportional to 9,946.40, 14,924.40 and 7,605.60 is: 11,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.40 : 14,924.40 = 7,605.60 : x
  2. Step 2: Convert to fraction form
    9,946.40/14,924.40 = 7,605.60/x
  3. Step 3: Cross multiply
    9,946.40x = 14,924.40 × 7,605.60
  4. Step 4: Simplify right side
    9,946.40x = 113,509,016.64
  5. Step 5: Solve for x
    x = 113,509,016.64/9,946.40
  6. Step 6: Final answer
    x = 11,412.07

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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.