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Finding the Fourth Proportional to 10,666.16, 14,718.13 and 7,516.88

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Solution

The fourth proportional to 10,666.16, 14,718.13 and 7,516.88 is: 10,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.16 : 14,718.13 = 7,516.88 : x
  2. Step 2: Convert to fraction form
    10,666.16/14,718.13 = 7,516.88/x
  3. Step 3: Cross multiply
    10,666.16x = 14,718.13 × 7,516.88
  4. Step 4: Simplify right side
    10,666.16x = 110,634,305.86
  5. Step 5: Solve for x
    x = 110,634,305.86/10,666.16
  6. Step 6: Final answer
    x = 10,372.46

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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.