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Finding the Fourth Proportional to 25,502.49, 38,259.14 and 7,973.64

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Solution

The fourth proportional to 25,502.49, 38,259.14 and 7,973.64 is: 11,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.49 : 38,259.14 = 7,973.64 : x
  2. Step 2: Convert to fraction form
    25,502.49/38,259.14 = 7,973.64/x
  3. Step 3: Cross multiply
    25,502.49x = 38,259.14 × 7,973.64
  4. Step 4: Simplify right side
    25,502.49x = 305,064,569.20
  5. Step 5: Solve for x
    x = 305,064,569.20/25,502.49
  6. Step 6: Final answer
    x = 11,962.15

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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.