Home / 9,480-14,225.12-4,616

Finding the Fourth Proportional to 9,480, 14,225.12 and 4,616

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Solution

The fourth proportional to 9,480, 14,225.12 and 4,616 is: 6,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480 : 14,225.12 = 4,616 : x
  2. Step 2: Convert to fraction form
    9,480/14,225.12 = 4,616/x
  3. Step 3: Cross multiply
    9,480x = 14,225.12 × 4,616
  4. Step 4: Simplify right side
    9,480x = 65,663,153.92
  5. Step 5: Solve for x
    x = 65,663,153.92/9,480
  6. Step 6: Final answer
    x = 6,926.49

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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.