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Finding the Fourth Proportional to 14,523.40, 21,769.50 and 5,746.12

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Solution

The fourth proportional to 14,523.40, 21,769.50 and 5,746.12 is: 8,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.40 : 21,769.50 = 5,746.12 : x
  2. Step 2: Convert to fraction form
    14,523.40/21,769.50 = 5,746.12/x
  3. Step 3: Cross multiply
    14,523.40x = 21,769.50 × 5,746.12
  4. Step 4: Simplify right side
    14,523.40x = 125,090,159.34
  5. Step 5: Solve for x
    x = 125,090,159.34/14,523.40
  6. Step 6: Final answer
    x = 8,613.01

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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.