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Finding the Fourth Proportional to 8,574.24, 11,834.24 and 5,038.24

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Solution

The fourth proportional to 8,574.24, 11,834.24 and 5,038.24 is: 6,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.24 : 11,834.24 = 5,038.24 : x
  2. Step 2: Convert to fraction form
    8,574.24/11,834.24 = 5,038.24/x
  3. Step 3: Cross multiply
    8,574.24x = 11,834.24 × 5,038.24
  4. Step 4: Simplify right side
    8,574.24x = 59,623,741.34
  5. Step 5: Solve for x
    x = 59,623,741.34/8,574.24
  6. Step 6: Final answer
    x = 6,953.82

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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.