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Finding the Fourth Proportional to 11,562.99, 15,950.43 and 7,312.74

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Solution

The fourth proportional to 11,562.99, 15,950.43 and 7,312.74 is: 10,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.99 : 15,950.43 = 7,312.74 : x
  2. Step 2: Convert to fraction form
    11,562.99/15,950.43 = 7,312.74/x
  3. Step 3: Cross multiply
    11,562.99x = 15,950.43 × 7,312.74
  4. Step 4: Simplify right side
    11,562.99x = 116,641,347.48
  5. Step 5: Solve for x
    x = 116,641,347.48/11,562.99
  6. Step 6: Final answer
    x = 10,087.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.