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Finding the Fourth Proportional to 9,909.40, 14,864.10 and 7,965.40

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Solution

The fourth proportional to 9,909.40, 14,864.10 and 7,965.40 is: 11,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.40 : 14,864.10 = 7,965.40 : x
  2. Step 2: Convert to fraction form
    9,909.40/14,864.10 = 7,965.40/x
  3. Step 3: Cross multiply
    9,909.40x = 14,864.10 × 7,965.40
  4. Step 4: Simplify right side
    9,909.40x = 118,398,502.14
  5. Step 5: Solve for x
    x = 118,398,502.14/9,909.40
  6. Step 6: Final answer
    x = 11,948.10

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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.