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Finding the Fourth Proportional to 9,482.25, 13,078.10 and 6,079.58

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Solution

The fourth proportional to 9,482.25, 13,078.10 and 6,079.58 is: 8,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.25 : 13,078.10 = 6,079.58 : x
  2. Step 2: Convert to fraction form
    9,482.25/13,078.10 = 6,079.58/x
  3. Step 3: Cross multiply
    9,482.25x = 13,078.10 × 6,079.58
  4. Step 4: Simplify right side
    9,482.25x = 79,509,390.64
  5. Step 5: Solve for x
    x = 79,509,390.64/9,482.25
  6. Step 6: Final answer
    x = 8,385.08

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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.