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Finding the Fourth Proportional to 10,509.52, 14,503.20 and 6,033.16

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Solution

The fourth proportional to 10,509.52, 14,503.20 and 6,033.16 is: 8,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.52 : 14,503.20 = 6,033.16 : x
  2. Step 2: Convert to fraction form
    10,509.52/14,503.20 = 6,033.16/x
  3. Step 3: Cross multiply
    10,509.52x = 14,503.20 × 6,033.16
  4. Step 4: Simplify right side
    10,509.52x = 87,500,126.11
  5. Step 5: Solve for x
    x = 87,500,126.11/10,509.52
  6. Step 6: Final answer
    x = 8,325.80

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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.