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Finding the Fourth Proportional to 30,597.60, 45,896.40 and 9,823.20

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Solution

The fourth proportional to 30,597.60, 45,896.40 and 9,823.20 is: 14,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.60 : 45,896.40 = 9,823.20 : x
  2. Step 2: Convert to fraction form
    30,597.60/45,896.40 = 9,823.20/x
  3. Step 3: Cross multiply
    30,597.60x = 45,896.40 × 9,823.20
  4. Step 4: Simplify right side
    30,597.60x = 450,849,516.48
  5. Step 5: Solve for x
    x = 450,849,516.48/30,597.60
  6. Step 6: Final answer
    x = 14,734.80

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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.