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Finding the Fourth Proportional to 9,518.61, 13,141.64 and 6,117

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Solution

The fourth proportional to 9,518.61, 13,141.64 and 6,117 is: 8,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.61 : 13,141.64 = 6,117 : x
  2. Step 2: Convert to fraction form
    9,518.61/13,141.64 = 6,117/x
  3. Step 3: Cross multiply
    9,518.61x = 13,141.64 × 6,117
  4. Step 4: Simplify right side
    9,518.61x = 80,387,381.30
  5. Step 5: Solve for x
    x = 80,387,381.30/9,518.61
  6. Step 6: Final answer
    x = 8,445.29

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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.