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Finding the Fourth Proportional to 10,509.13, 14,502.03 and 6,032.77

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Solution

The fourth proportional to 10,509.13, 14,502.03 and 6,032.77 is: 8,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.13 : 14,502.03 = 6,032.77 : x
  2. Step 2: Convert to fraction form
    10,509.13/14,502.03 = 6,032.77/x
  3. Step 3: Cross multiply
    10,509.13x = 14,502.03 × 6,032.77
  4. Step 4: Simplify right side
    10,509.13x = 87,487,411.52
  5. Step 5: Solve for x
    x = 87,487,411.52/10,509.13
  6. Step 6: Final answer
    x = 8,324.90

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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.