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Finding the Fourth Proportional to 7,327.60, 10,970.70 and 5,703.10

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Solution

The fourth proportional to 7,327.60, 10,970.70 and 5,703.10 is: 8,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.60 : 10,970.70 = 5,703.10 : x
  2. Step 2: Convert to fraction form
    7,327.60/10,970.70 = 5,703.10/x
  3. Step 3: Cross multiply
    7,327.60x = 10,970.70 × 5,703.10
  4. Step 4: Simplify right side
    7,327.60x = 62,566,999.17
  5. Step 5: Solve for x
    x = 62,566,999.17/7,327.60
  6. Step 6: Final answer
    x = 8,538.54

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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.