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Finding the Fourth Proportional to 9,817.87, 14,782.08 and 8,655.34

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Solution

The fourth proportional to 9,817.87, 14,782.08 and 8,655.34 is: 13,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.87 : 14,782.08 = 8,655.34 : x
  2. Step 2: Convert to fraction form
    9,817.87/14,782.08 = 8,655.34/x
  3. Step 3: Cross multiply
    9,817.87x = 14,782.08 × 8,655.34
  4. Step 4: Simplify right side
    9,817.87x = 127,943,928.31
  5. Step 5: Solve for x
    x = 127,943,928.31/9,817.87
  6. Step 6: Final answer
    x = 13,031.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.