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Finding the Fourth Proportional to 13,133.40, 17,764.65 and 13,133.40

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Solution

The fourth proportional to 13,133.40, 17,764.65 and 13,133.40 is: 17,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.40 : 17,764.65 = 13,133.40 : x
  2. Step 2: Convert to fraction form
    13,133.40/17,764.65 = 13,133.40/x
  3. Step 3: Cross multiply
    13,133.40x = 17,764.65 × 13,133.40
  4. Step 4: Simplify right side
    13,133.40x = 233,310,254.31
  5. Step 5: Solve for x
    x = 233,310,254.31/13,133.40
  6. Step 6: Final answer
    x = 17,764.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.