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Finding the Fourth Proportional to 9,969.50, 14,952.62 and 7,038.92

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Solution

The fourth proportional to 9,969.50, 14,952.62 and 7,038.92 is: 10,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.50 : 14,952.62 = 7,038.92 : x
  2. Step 2: Convert to fraction form
    9,969.50/14,952.62 = 7,038.92/x
  3. Step 3: Cross multiply
    9,969.50x = 14,952.62 × 7,038.92
  4. Step 4: Simplify right side
    9,969.50x = 105,250,295.97
  5. Step 5: Solve for x
    x = 105,250,295.97/9,969.50
  6. Step 6: Final answer
    x = 10,557.23

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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.