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Finding the Fourth Proportional to 9,567.64, 13,191.42 and 7,895.80

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Solution

The fourth proportional to 9,567.64, 13,191.42 and 7,895.80 is: 10,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.64 : 13,191.42 = 7,895.80 : x
  2. Step 2: Convert to fraction form
    9,567.64/13,191.42 = 7,895.80/x
  3. Step 3: Cross multiply
    9,567.64x = 13,191.42 × 7,895.80
  4. Step 4: Simplify right side
    9,567.64x = 104,156,814.04
  5. Step 5: Solve for x
    x = 104,156,814.04/9,567.64
  6. Step 6: Final answer
    x = 10,886.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.