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Finding the Fourth Proportional to 10,450.51, 14,421.51 and 5,913.14

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Solution

The fourth proportional to 10,450.51, 14,421.51 and 5,913.14 is: 8,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.51 : 14,421.51 = 5,913.14 : x
  2. Step 2: Convert to fraction form
    10,450.51/14,421.51 = 5,913.14/x
  3. Step 3: Cross multiply
    10,450.51x = 14,421.51 × 5,913.14
  4. Step 4: Simplify right side
    10,450.51x = 85,276,407.64
  5. Step 5: Solve for x
    x = 85,276,407.64/10,450.51
  6. Step 6: Final answer
    x = 8,160.02

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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.