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Finding the Fourth Proportional to 12,597.76, 18,903.20 and 5,582.56

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Solution

The fourth proportional to 12,597.76, 18,903.20 and 5,582.56 is: 8,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.76 : 18,903.20 = 5,582.56 : x
  2. Step 2: Convert to fraction form
    12,597.76/18,903.20 = 5,582.56/x
  3. Step 3: Cross multiply
    12,597.76x = 18,903.20 × 5,582.56
  4. Step 4: Simplify right side
    12,597.76x = 105,528,248.19
  5. Step 5: Solve for x
    x = 105,528,248.19/12,597.76
  6. Step 6: Final answer
    x = 8,376.75

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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.