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Finding the Fourth Proportional to 9,837.84, 14,762.16 and 4,643.58

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Solution

The fourth proportional to 9,837.84, 14,762.16 and 4,643.58 is: 6,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.84 : 14,762.16 = 4,643.58 : x
  2. Step 2: Convert to fraction form
    9,837.84/14,762.16 = 4,643.58/x
  3. Step 3: Cross multiply
    9,837.84x = 14,762.16 × 4,643.58
  4. Step 4: Simplify right side
    9,837.84x = 68,549,270.93
  5. Step 5: Solve for x
    x = 68,549,270.93/9,837.84
  6. Step 6: Final answer
    x = 6,967.92

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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.