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Finding the Fourth Proportional to 35,833.50, 53,750.25 and 11,209.50

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Solution

The fourth proportional to 35,833.50, 53,750.25 and 11,209.50 is: 16,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.50 : 53,750.25 = 11,209.50 : x
  2. Step 2: Convert to fraction form
    35,833.50/53,750.25 = 11,209.50/x
  3. Step 3: Cross multiply
    35,833.50x = 53,750.25 × 11,209.50
  4. Step 4: Simplify right side
    35,833.50x = 602,513,427.38
  5. Step 5: Solve for x
    x = 602,513,427.38/35,833.50
  6. Step 6: Final answer
    x = 16,814.25

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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.