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Finding the Fourth Proportional to 4,704.72, 7,045.95 and 4,085.06

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Solution

The fourth proportional to 4,704.72, 7,045.95 and 4,085.06 is: 6,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.72 : 7,045.95 = 4,085.06 : x
  2. Step 2: Convert to fraction form
    4,704.72/7,045.95 = 4,085.06/x
  3. Step 3: Cross multiply
    4,704.72x = 7,045.95 × 4,085.06
  4. Step 4: Simplify right side
    4,704.72x = 28,783,111.18
  5. Step 5: Solve for x
    x = 28,783,111.18/4,704.72
  6. Step 6: Final answer
    x = 6,117.92

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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.