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Finding the Fourth Proportional to 10,613.66, 14,647.16 and 6,077.16

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Solution

The fourth proportional to 10,613.66, 14,647.16 and 6,077.16 is: 8,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.66 : 14,647.16 = 6,077.16 : x
  2. Step 2: Convert to fraction form
    10,613.66/14,647.16 = 6,077.16/x
  3. Step 3: Cross multiply
    10,613.66x = 14,647.16 × 6,077.16
  4. Step 4: Simplify right side
    10,613.66x = 89,013,134.87
  5. Step 5: Solve for x
    x = 89,013,134.87/10,613.66
  6. Step 6: Final answer
    x = 8,386.66

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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.