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Finding the Fourth Proportional to 7,051.60, 9,735.96 and 6,303.16

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Solution

The fourth proportional to 7,051.60, 9,735.96 and 6,303.16 is: 8,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.60 : 9,735.96 = 6,303.16 : x
  2. Step 2: Convert to fraction form
    7,051.60/9,735.96 = 6,303.16/x
  3. Step 3: Cross multiply
    7,051.60x = 9,735.96 × 6,303.16
  4. Step 4: Simplify right side
    7,051.60x = 61,367,313.63
  5. Step 5: Solve for x
    x = 61,367,313.63/7,051.60
  6. Step 6: Final answer
    x = 8,702.61

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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.