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Finding the Fourth Proportional to 9,934.59, 13,718.63 and 7,412.32

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Solution

The fourth proportional to 9,934.59, 13,718.63 and 7,412.32 is: 10,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.59 : 13,718.63 = 7,412.32 : x
  2. Step 2: Convert to fraction form
    9,934.59/13,718.63 = 7,412.32/x
  3. Step 3: Cross multiply
    9,934.59x = 13,718.63 × 7,412.32
  4. Step 4: Simplify right side
    9,934.59x = 101,686,875.52
  5. Step 5: Solve for x
    x = 101,686,875.52/9,934.59
  6. Step 6: Final answer
    x = 10,235.64

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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.