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Finding the Fourth Proportional to 8,385, 12,565.80 and 6,302.57

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Solution

The fourth proportional to 8,385, 12,565.80 and 6,302.57 is: 9,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385 : 12,565.80 = 6,302.57 : x
  2. Step 2: Convert to fraction form
    8,385/12,565.80 = 6,302.57/x
  3. Step 3: Cross multiply
    8,385x = 12,565.80 × 6,302.57
  4. Step 4: Simplify right side
    8,385x = 79,196,771.28
  5. Step 5: Solve for x
    x = 79,196,771.28/8,385
  6. Step 6: Final answer
    x = 9,445.05

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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.