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Finding the Fourth Proportional to 9,774.44, 13,470.64 and 6,941.94

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Solution

The fourth proportional to 9,774.44, 13,470.64 and 6,941.94 is: 9,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.44 : 13,470.64 = 6,941.94 : x
  2. Step 2: Convert to fraction form
    9,774.44/13,470.64 = 6,941.94/x
  3. Step 3: Cross multiply
    9,774.44x = 13,470.64 × 6,941.94
  4. Step 4: Simplify right side
    9,774.44x = 93,512,306.77
  5. Step 5: Solve for x
    x = 93,512,306.77/9,774.44
  6. Step 6: Final answer
    x = 9,567.03

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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.