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Finding the Fourth Proportional to 14,897.41, 22,346.16 and 4,509.16

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Solution

The fourth proportional to 14,897.41, 22,346.16 and 4,509.16 is: 6,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.41 : 22,346.16 = 4,509.16 : x
  2. Step 2: Convert to fraction form
    14,897.41/22,346.16 = 4,509.16/x
  3. Step 3: Cross multiply
    14,897.41x = 22,346.16 × 4,509.16
  4. Step 4: Simplify right side
    14,897.41x = 100,762,410.83
  5. Step 5: Solve for x
    x = 100,762,410.83/14,897.41
  6. Step 6: Final answer
    x = 6,763.75

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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.