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Finding the Fourth Proportional to 9,973.80, 14,960.14 and 3,047.76

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Solution

The fourth proportional to 9,973.80, 14,960.14 and 3,047.76 is: 4,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.80 : 14,960.14 = 3,047.76 : x
  2. Step 2: Convert to fraction form
    9,973.80/14,960.14 = 3,047.76/x
  3. Step 3: Cross multiply
    9,973.80x = 14,960.14 × 3,047.76
  4. Step 4: Simplify right side
    9,973.80x = 45,594,916.29
  5. Step 5: Solve for x
    x = 45,594,916.29/9,973.80
  6. Step 6: Final answer
    x = 4,571.47

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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.