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Finding the Fourth Proportional to 9,973.58, 14,963.13 and 4,351.74

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Solution

The fourth proportional to 9,973.58, 14,963.13 and 4,351.74 is: 6,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.58 : 14,963.13 = 4,351.74 : x
  2. Step 2: Convert to fraction form
    9,973.58/14,963.13 = 4,351.74/x
  3. Step 3: Cross multiply
    9,973.58x = 14,963.13 × 4,351.74
  4. Step 4: Simplify right side
    9,973.58x = 65,115,595.23
  5. Step 5: Solve for x
    x = 65,115,595.23/9,973.58
  6. Step 6: Final answer
    x = 6,528.81

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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.