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Finding the Fourth Proportional to 9,767.77, 14,693.22 and 8,854.34

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Solution

The fourth proportional to 9,767.77, 14,693.22 and 8,854.34 is: 13,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.77 : 14,693.22 = 8,854.34 : x
  2. Step 2: Convert to fraction form
    9,767.77/14,693.22 = 8,854.34/x
  3. Step 3: Cross multiply
    9,767.77x = 14,693.22 × 8,854.34
  4. Step 4: Simplify right side
    9,767.77x = 130,098,692.11
  5. Step 5: Solve for x
    x = 130,098,692.11/9,767.77
  6. Step 6: Final answer
    x = 13,319.18

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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.