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Finding the Fourth Proportional to 10,430.84, 15,646.11 and 2,533.42

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Solution

The fourth proportional to 10,430.84, 15,646.11 and 2,533.42 is: 3,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.84 : 15,646.11 = 2,533.42 : x
  2. Step 2: Convert to fraction form
    10,430.84/15,646.11 = 2,533.42/x
  3. Step 3: Cross multiply
    10,430.84x = 15,646.11 × 2,533.42
  4. Step 4: Simplify right side
    10,430.84x = 39,638,148.30
  5. Step 5: Solve for x
    x = 39,638,148.30/10,430.84
  6. Step 6: Final answer
    x = 3,800.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.