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Finding the Fourth Proportional to 9,687.42, 14,518.71 and 7,048.26

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Solution

The fourth proportional to 9,687.42, 14,518.71 and 7,048.26 is: 10,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.42 : 14,518.71 = 7,048.26 : x
  2. Step 2: Convert to fraction form
    9,687.42/14,518.71 = 7,048.26/x
  3. Step 3: Cross multiply
    9,687.42x = 14,518.71 × 7,048.26
  4. Step 4: Simplify right side
    9,687.42x = 102,331,642.94
  5. Step 5: Solve for x
    x = 102,331,642.94/9,687.42
  6. Step 6: Final answer
    x = 10,563.35

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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.