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Finding the Fourth Proportional to 9,774.32, 14,661.47 and 3,929.56

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Solution

The fourth proportional to 9,774.32, 14,661.47 and 3,929.56 is: 5,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.32 : 14,661.47 = 3,929.56 : x
  2. Step 2: Convert to fraction form
    9,774.32/14,661.47 = 3,929.56/x
  3. Step 3: Cross multiply
    9,774.32x = 14,661.47 × 3,929.56
  4. Step 4: Simplify right side
    9,774.32x = 57,613,077.12
  5. Step 5: Solve for x
    x = 57,613,077.12/9,774.32
  6. Step 6: Final answer
    x = 5,894.33

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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.