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Finding the Fourth Proportional to 9,681.54, 14,456.55 and 9,419.10

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Solution

The fourth proportional to 9,681.54, 14,456.55 and 9,419.10 is: 14,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.54 : 14,456.55 = 9,419.10 : x
  2. Step 2: Convert to fraction form
    9,681.54/14,456.55 = 9,419.10/x
  3. Step 3: Cross multiply
    9,681.54x = 14,456.55 × 9,419.10
  4. Step 4: Simplify right side
    9,681.54x = 136,167,690.11
  5. Step 5: Solve for x
    x = 136,167,690.11/9,681.54
  6. Step 6: Final answer
    x = 14,064.67

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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.