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Finding the Fourth Proportional to 14,648.47, 21,973.16 and 6,326.93

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Solution

The fourth proportional to 14,648.47, 21,973.16 and 6,326.93 is: 9,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.47 : 21,973.16 = 6,326.93 : x
  2. Step 2: Convert to fraction form
    14,648.47/21,973.16 = 6,326.93/x
  3. Step 3: Cross multiply
    14,648.47x = 21,973.16 × 6,326.93
  4. Step 4: Simplify right side
    14,648.47x = 139,022,645.20
  5. Step 5: Solve for x
    x = 139,022,645.20/14,648.47
  6. Step 6: Final answer
    x = 9,490.59

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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.