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Finding the Fourth Proportional to 9,823.53, 14,735.30 and 8,088.51

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Solution

The fourth proportional to 9,823.53, 14,735.30 and 8,088.51 is: 12,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.53 : 14,735.30 = 8,088.51 : x
  2. Step 2: Convert to fraction form
    9,823.53/14,735.30 = 8,088.51/x
  3. Step 3: Cross multiply
    9,823.53x = 14,735.30 × 8,088.51
  4. Step 4: Simplify right side
    9,823.53x = 119,186,580.96
  5. Step 5: Solve for x
    x = 119,186,580.96/9,823.53
  6. Step 6: Final answer
    x = 12,132.77

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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.