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Finding the Fourth Proportional to 9,982.32, 14,897.57 and 8,875.16

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Solution

The fourth proportional to 9,982.32, 14,897.57 and 8,875.16 is: 13,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.32 : 14,897.57 = 8,875.16 : x
  2. Step 2: Convert to fraction form
    9,982.32/14,897.57 = 8,875.16/x
  3. Step 3: Cross multiply
    9,982.32x = 14,897.57 × 8,875.16
  4. Step 4: Simplify right side
    9,982.32x = 132,218,317.36
  5. Step 5: Solve for x
    x = 132,218,317.36/9,982.32
  6. Step 6: Final answer
    x = 13,245.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.