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Finding the Fourth Proportional to 10,613, 14,647.29 and 6,421.28

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Solution

The fourth proportional to 10,613, 14,647.29 and 6,421.28 is: 8,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613 : 14,647.29 = 6,421.28 : x
  2. Step 2: Convert to fraction form
    10,613/14,647.29 = 6,421.28/x
  3. Step 3: Cross multiply
    10,613x = 14,647.29 × 6,421.28
  4. Step 4: Simplify right side
    10,613x = 94,054,350.33
  5. Step 5: Solve for x
    x = 94,054,350.33/10,613
  6. Step 6: Final answer
    x = 8,862.18

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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.