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Finding the Fourth Proportional to 9,712.64, 14,537.63 and 5,026.20

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Solution

The fourth proportional to 9,712.64, 14,537.63 and 5,026.20 is: 7,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.64 : 14,537.63 = 5,026.20 : x
  2. Step 2: Convert to fraction form
    9,712.64/14,537.63 = 5,026.20/x
  3. Step 3: Cross multiply
    9,712.64x = 14,537.63 × 5,026.20
  4. Step 4: Simplify right side
    9,712.64x = 73,069,010.78
  5. Step 5: Solve for x
    x = 73,069,010.78/9,712.64
  6. Step 6: Final answer
    x = 7,523.08

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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.