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Finding the Fourth Proportional to 10,573.64, 15,848.52 and 5,019.28

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Solution

The fourth proportional to 10,573.64, 15,848.52 and 5,019.28 is: 7,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.64 : 15,848.52 = 5,019.28 : x
  2. Step 2: Convert to fraction form
    10,573.64/15,848.52 = 5,019.28/x
  3. Step 3: Cross multiply
    10,573.64x = 15,848.52 × 5,019.28
  4. Step 4: Simplify right side
    10,573.64x = 79,548,159.47
  5. Step 5: Solve for x
    x = 79,548,159.47/10,573.64
  6. Step 6: Final answer
    x = 7,523.25

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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.