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Finding the Fourth Proportional to 9,904.68, 13,666.73 and 5,653.80

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Solution

The fourth proportional to 9,904.68, 13,666.73 and 5,653.80 is: 7,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.68 : 13,666.73 = 5,653.80 : x
  2. Step 2: Convert to fraction form
    9,904.68/13,666.73 = 5,653.80/x
  3. Step 3: Cross multiply
    9,904.68x = 13,666.73 × 5,653.80
  4. Step 4: Simplify right side
    9,904.68x = 77,268,929.81
  5. Step 5: Solve for x
    x = 77,268,929.81/9,904.68
  6. Step 6: Final answer
    x = 7,801.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.