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Finding the Fourth Proportional to 4,977.60, 7,437.40 and 4,977.60

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Solution

The fourth proportional to 4,977.60, 7,437.40 and 4,977.60 is: 7,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.60 : 7,437.40 = 4,977.60 : x
  2. Step 2: Convert to fraction form
    4,977.60/7,437.40 = 4,977.60/x
  3. Step 3: Cross multiply
    4,977.60x = 7,437.40 × 4,977.60
  4. Step 4: Simplify right side
    4,977.60x = 37,020,402.24
  5. Step 5: Solve for x
    x = 37,020,402.24/4,977.60
  6. Step 6: Final answer
    x = 7,437.40

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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.