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Finding the Fourth Proportional to 9,579.42, 14,368.20 and 3,005.66

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Solution

The fourth proportional to 9,579.42, 14,368.20 and 3,005.66 is: 4,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.42 : 14,368.20 = 3,005.66 : x
  2. Step 2: Convert to fraction form
    9,579.42/14,368.20 = 3,005.66/x
  3. Step 3: Cross multiply
    9,579.42x = 14,368.20 × 3,005.66
  4. Step 4: Simplify right side
    9,579.42x = 43,185,852.17
  5. Step 5: Solve for x
    x = 43,185,852.17/9,579.42
  6. Step 6: Final answer
    x = 4,508.19

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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.