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Finding the Fourth Proportional to 9,973.76, 14,963.20 and 3,048.24

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Solution

The fourth proportional to 9,973.76, 14,963.20 and 3,048.24 is: 4,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.76 : 14,963.20 = 3,048.24 : x
  2. Step 2: Convert to fraction form
    9,973.76/14,963.20 = 3,048.24/x
  3. Step 3: Cross multiply
    9,973.76x = 14,963.20 × 3,048.24
  4. Step 4: Simplify right side
    9,973.76x = 45,611,424.77
  5. Step 5: Solve for x
    x = 45,611,424.77/9,973.76
  6. Step 6: Final answer
    x = 4,573.14

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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.