Home / 9,710.24-14,565.12-2,784.80

Finding the Fourth Proportional to 9,710.24, 14,565.12 and 2,784.80

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Solution

The fourth proportional to 9,710.24, 14,565.12 and 2,784.80 is: 4,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.24 : 14,565.12 = 2,784.80 : x
  2. Step 2: Convert to fraction form
    9,710.24/14,565.12 = 2,784.80/x
  3. Step 3: Cross multiply
    9,710.24x = 14,565.12 × 2,784.80
  4. Step 4: Simplify right side
    9,710.24x = 40,560,946.18
  5. Step 5: Solve for x
    x = 40,560,946.18/9,710.24
  6. Step 6: Final answer
    x = 4,177.13

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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.