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Finding the Fourth Proportional to 7,051.90, 9,723.75 and 4,814.95

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Solution

The fourth proportional to 7,051.90, 9,723.75 and 4,814.95 is: 6,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.90 : 9,723.75 = 4,814.95 : x
  2. Step 2: Convert to fraction form
    7,051.90/9,723.75 = 4,814.95/x
  3. Step 3: Cross multiply
    7,051.90x = 9,723.75 × 4,814.95
  4. Step 4: Simplify right side
    7,051.90x = 46,819,321.44
  5. Step 5: Solve for x
    x = 46,819,321.44/7,051.90
  6. Step 6: Final answer
    x = 6,639.25

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1.5x scale

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.