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Finding the Fourth Proportional to 10,207.52, 14,076 and 9,612.23

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Solution

The fourth proportional to 10,207.52, 14,076 and 9,612.23 is: 13,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.52 : 14,076 = 9,612.23 : x
  2. Step 2: Convert to fraction form
    10,207.52/14,076 = 9,612.23/x
  3. Step 3: Cross multiply
    10,207.52x = 14,076 × 9,612.23
  4. Step 4: Simplify right side
    10,207.52x = 135,301,679.10
  5. Step 5: Solve for x
    x = 135,301,679.10/10,207.52
  6. Step 6: Final answer
    x = 13,255.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.