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Finding the Fourth Proportional to 9,503.64, 13,101.30 and 6,514.74

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Solution

The fourth proportional to 9,503.64, 13,101.30 and 6,514.74 is: 8,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.64 : 13,101.30 = 6,514.74 : x
  2. Step 2: Convert to fraction form
    9,503.64/13,101.30 = 6,514.74/x
  3. Step 3: Cross multiply
    9,503.64x = 13,101.30 × 6,514.74
  4. Step 4: Simplify right side
    9,503.64x = 85,351,563.16
  5. Step 5: Solve for x
    x = 85,351,563.16/9,503.64
  6. Step 6: Final answer
    x = 8,980.93

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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.