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Finding the Fourth Proportional to 15,782.40, 23,657.40 and 9,205.20

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Solution

The fourth proportional to 15,782.40, 23,657.40 and 9,205.20 is: 13,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.40 : 23,657.40 = 9,205.20 : x
  2. Step 2: Convert to fraction form
    15,782.40/23,657.40 = 9,205.20/x
  3. Step 3: Cross multiply
    15,782.40x = 23,657.40 × 9,205.20
  4. Step 4: Simplify right side
    15,782.40x = 217,771,098.48
  5. Step 5: Solve for x
    x = 217,771,098.48/15,782.40
  6. Step 6: Final answer
    x = 13,798.35

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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.