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Finding the Fourth Proportional to 9,871.04, 13,623.68 and 5,678.40

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Solution

The fourth proportional to 9,871.04, 13,623.68 and 5,678.40 is: 7,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.04 : 13,623.68 = 5,678.40 : x
  2. Step 2: Convert to fraction form
    9,871.04/13,623.68 = 5,678.40/x
  3. Step 3: Cross multiply
    9,871.04x = 13,623.68 × 5,678.40
  4. Step 4: Simplify right side
    9,871.04x = 77,360,704.51
  5. Step 5: Solve for x
    x = 77,360,704.51/9,871.04
  6. Step 6: Final answer
    x = 7,837.14

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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.