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Finding the Fourth Proportional to 35,646.90, 53,466.25 and 9,353.69

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Solution

The fourth proportional to 35,646.90, 53,466.25 and 9,353.69 is: 14,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.90 : 53,466.25 = 9,353.69 : x
  2. Step 2: Convert to fraction form
    35,646.90/53,466.25 = 9,353.69/x
  3. Step 3: Cross multiply
    35,646.90x = 53,466.25 × 9,353.69
  4. Step 4: Simplify right side
    35,646.90x = 500,106,956.03
  5. Step 5: Solve for x
    x = 500,106,956.03/35,646.90
  6. Step 6: Final answer
    x = 14,029.46

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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.