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Finding the Fourth Proportional to 9,671.04, 13,352.85 and 7,548.93

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Solution

The fourth proportional to 9,671.04, 13,352.85 and 7,548.93 is: 10,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.04 : 13,352.85 = 7,548.93 : x
  2. Step 2: Convert to fraction form
    9,671.04/13,352.85 = 7,548.93/x
  3. Step 3: Cross multiply
    9,671.04x = 13,352.85 × 7,548.93
  4. Step 4: Simplify right side
    9,671.04x = 100,799,729.95
  5. Step 5: Solve for x
    x = 100,799,729.95/9,671.04
  6. Step 6: Final answer
    x = 10,422.84

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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.