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Finding the Fourth Proportional to 4,973.72, 7,433.76 and 4,344.08

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Solution

The fourth proportional to 4,973.72, 7,433.76 and 4,344.08 is: 6,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.72 : 7,433.76 = 4,344.08 : x
  2. Step 2: Convert to fraction form
    4,973.72/7,433.76 = 4,344.08/x
  3. Step 3: Cross multiply
    4,973.72x = 7,433.76 × 4,344.08
  4. Step 4: Simplify right side
    4,973.72x = 32,292,848.14
  5. Step 5: Solve for x
    x = 32,292,848.14/4,973.72
  6. Step 6: Final answer
    x = 6,492.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.