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Finding the Fourth Proportional to 7,842.32, 10,823.40 and 4,530.32

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Solution

The fourth proportional to 7,842.32, 10,823.40 and 4,530.32 is: 6,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.32 : 10,823.40 = 4,530.32 : x
  2. Step 2: Convert to fraction form
    7,842.32/10,823.40 = 4,530.32/x
  3. Step 3: Cross multiply
    7,842.32x = 10,823.40 × 4,530.32
  4. Step 4: Simplify right side
    7,842.32x = 49,033,465.49
  5. Step 5: Solve for x
    x = 49,033,465.49/7,842.32
  6. Step 6: Final answer
    x = 6,252.42

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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.