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Finding the Fourth Proportional to 10,588.85, 14,613.22 and 6,398.45

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Solution

The fourth proportional to 10,588.85, 14,613.22 and 6,398.45 is: 8,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.85 : 14,613.22 = 6,398.45 : x
  2. Step 2: Convert to fraction form
    10,588.85/14,613.22 = 6,398.45/x
  3. Step 3: Cross multiply
    10,588.85x = 14,613.22 × 6,398.45
  4. Step 4: Simplify right side
    10,588.85x = 93,502,002.04
  5. Step 5: Solve for x
    x = 93,502,002.04/10,588.85
  6. Step 6: Final answer
    x = 8,830.23

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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.