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Finding the Fourth Proportional to 19,774.32, 29,664.08 and 7,303.11

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Solution

The fourth proportional to 19,774.32, 29,664.08 and 7,303.11 is: 10,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.32 : 29,664.08 = 7,303.11 : x
  2. Step 2: Convert to fraction form
    19,774.32/29,664.08 = 7,303.11/x
  3. Step 3: Cross multiply
    19,774.32x = 29,664.08 × 7,303.11
  4. Step 4: Simplify right side
    19,774.32x = 216,640,039.29
  5. Step 5: Solve for x
    x = 216,640,039.29/19,774.32
  6. Step 6: Final answer
    x = 10,955.63

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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.