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Finding the Fourth Proportional to 14,860.58, 20,509.69 and 9,197.14

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Solution

The fourth proportional to 14,860.58, 20,509.69 and 9,197.14 is: 12,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.58 : 20,509.69 = 9,197.14 : x
  2. Step 2: Convert to fraction form
    14,860.58/20,509.69 = 9,197.14/x
  3. Step 3: Cross multiply
    14,860.58x = 20,509.69 × 9,197.14
  4. Step 4: Simplify right side
    14,860.58x = 188,630,490.29
  5. Step 5: Solve for x
    x = 188,630,490.29/14,860.58
  6. Step 6: Final answer
    x = 12,693.35

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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.