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Finding the Fourth Proportional to 9,788.93, 14,681.70 and 3,215.24

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Solution

The fourth proportional to 9,788.93, 14,681.70 and 3,215.24 is: 4,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.93 : 14,681.70 = 3,215.24 : x
  2. Step 2: Convert to fraction form
    9,788.93/14,681.70 = 3,215.24/x
  3. Step 3: Cross multiply
    9,788.93x = 14,681.70 × 3,215.24
  4. Step 4: Simplify right side
    9,788.93x = 47,205,189.11
  5. Step 5: Solve for x
    x = 47,205,189.11/9,788.93
  6. Step 6: Final answer
    x = 4,822.30

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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.