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Finding the Fourth Proportional to 9,752.31, 14,643.05 and 9,412.11

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Solution

The fourth proportional to 9,752.31, 14,643.05 and 9,412.11 is: 14,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.31 : 14,643.05 = 9,412.11 : x
  2. Step 2: Convert to fraction form
    9,752.31/14,643.05 = 9,412.11/x
  3. Step 3: Cross multiply
    9,752.31x = 14,643.05 × 9,412.11
  4. Step 4: Simplify right side
    9,752.31x = 137,821,950.27
  5. Step 5: Solve for x
    x = 137,821,950.27/9,752.31
  6. Step 6: Final answer
    x = 14,132.24

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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.