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Finding the Fourth Proportional to 11,470.64, 15,827.08 and 7,497.59

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Solution

The fourth proportional to 11,470.64, 15,827.08 and 7,497.59 is: 10,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.64 : 15,827.08 = 7,497.59 : x
  2. Step 2: Convert to fraction form
    11,470.64/15,827.08 = 7,497.59/x
  3. Step 3: Cross multiply
    11,470.64x = 15,827.08 × 7,497.59
  4. Step 4: Simplify right side
    11,470.64x = 118,664,919.25
  5. Step 5: Solve for x
    x = 118,664,919.25/11,470.64
  6. Step 6: Final answer
    x = 10,345.10

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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.