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Finding the Fourth Proportional to 7,051.64, 9,728.46 and 4,533.32

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Solution

The fourth proportional to 7,051.64, 9,728.46 and 4,533.32 is: 6,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.64 : 9,728.46 = 4,533.32 : x
  2. Step 2: Convert to fraction form
    7,051.64/9,728.46 = 4,533.32/x
  3. Step 3: Cross multiply
    7,051.64x = 9,728.46 × 4,533.32
  4. Step 4: Simplify right side
    7,051.64x = 44,102,222.29
  5. Step 5: Solve for x
    x = 44,102,222.29/7,051.64
  6. Step 6: Final answer
    x = 6,254.18

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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.