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Finding the Fourth Proportional to 14,458.58, 19,957.07 and 8,410.23

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Solution

The fourth proportional to 14,458.58, 19,957.07 and 8,410.23 is: 11,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.58 : 19,957.07 = 8,410.23 : x
  2. Step 2: Convert to fraction form
    14,458.58/19,957.07 = 8,410.23/x
  3. Step 3: Cross multiply
    14,458.58x = 19,957.07 × 8,410.23
  4. Step 4: Simplify right side
    14,458.58x = 167,843,506.77
  5. Step 5: Solve for x
    x = 167,843,506.77/14,458.58
  6. Step 6: Final answer
    x = 11,608.58

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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.