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Finding the Fourth Proportional to 12,502.16, 17,254.62 and 7,197.20

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Solution

The fourth proportional to 12,502.16, 17,254.62 and 7,197.20 is: 9,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.16 : 17,254.62 = 7,197.20 : x
  2. Step 2: Convert to fraction form
    12,502.16/17,254.62 = 7,197.20/x
  3. Step 3: Cross multiply
    12,502.16x = 17,254.62 × 7,197.20
  4. Step 4: Simplify right side
    12,502.16x = 124,184,967.21
  5. Step 5: Solve for x
    x = 124,184,967.21/12,502.16
  6. Step 6: Final answer
    x = 9,933.08

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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.