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Finding the Fourth Proportional to 10,573.15, 15,838.19 and 5,009.63

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Solution

The fourth proportional to 10,573.15, 15,838.19 and 5,009.63 is: 7,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.15 : 15,838.19 = 5,009.63 : x
  2. Step 2: Convert to fraction form
    10,573.15/15,838.19 = 5,009.63/x
  3. Step 3: Cross multiply
    10,573.15x = 15,838.19 × 5,009.63
  4. Step 4: Simplify right side
    10,573.15x = 79,343,471.77
  5. Step 5: Solve for x
    x = 79,343,471.77/10,573.15
  6. Step 6: Final answer
    x = 7,504.24

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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.