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Finding the Fourth Proportional to 10,458.58, 14,432.86 and 5,743.16

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Solution

The fourth proportional to 10,458.58, 14,432.86 and 5,743.16 is: 7,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.58 : 14,432.86 = 5,743.16 : x
  2. Step 2: Convert to fraction form
    10,458.58/14,432.86 = 5,743.16/x
  3. Step 3: Cross multiply
    10,458.58x = 14,432.86 × 5,743.16
  4. Step 4: Simplify right side
    10,458.58x = 82,890,224.24
  5. Step 5: Solve for x
    x = 82,890,224.24/10,458.58
  6. Step 6: Final answer
    x = 7,925.57

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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.