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Finding the Fourth Proportional to 10,509.12, 14,509.34 and 6,535.64

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Solution

The fourth proportional to 10,509.12, 14,509.34 and 6,535.64 is: 9,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.12 : 14,509.34 = 6,535.64 : x
  2. Step 2: Convert to fraction form
    10,509.12/14,509.34 = 6,535.64/x
  3. Step 3: Cross multiply
    10,509.12x = 14,509.34 × 6,535.64
  4. Step 4: Simplify right side
    10,509.12x = 94,827,822.88
  5. Step 5: Solve for x
    x = 94,827,822.88/10,509.12
  6. Step 6: Final answer
    x = 9,023.38

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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.