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Finding the Fourth Proportional to 25,496.08, 38,229 and 9,702.30

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Solution

The fourth proportional to 25,496.08, 38,229 and 9,702.30 is: 14,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.08 : 38,229 = 9,702.30 : x
  2. Step 2: Convert to fraction form
    25,496.08/38,229 = 9,702.30/x
  3. Step 3: Cross multiply
    25,496.08x = 38,229 × 9,702.30
  4. Step 4: Simplify right side
    25,496.08x = 370,909,226.70
  5. Step 5: Solve for x
    x = 370,909,226.70/25,496.08
  6. Step 6: Final answer
    x = 14,547.70

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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.