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Finding the Fourth Proportional to 16,374.80, 24,547.80 and 9,803.60

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Solution

The fourth proportional to 16,374.80, 24,547.80 and 9,803.60 is: 14,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.80 : 24,547.80 = 9,803.60 : x
  2. Step 2: Convert to fraction form
    16,374.80/24,547.80 = 9,803.60/x
  3. Step 3: Cross multiply
    16,374.80x = 24,547.80 × 9,803.60
  4. Step 4: Simplify right side
    16,374.80x = 240,656,812.08
  5. Step 5: Solve for x
    x = 240,656,812.08/16,374.80
  6. Step 6: Final answer
    x = 14,696.78

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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.