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Finding the Fourth Proportional to 9,567.84, 14,345.12 and 4,878.74

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Solution

The fourth proportional to 9,567.84, 14,345.12 and 4,878.74 is: 7,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.84 : 14,345.12 = 4,878.74 : x
  2. Step 2: Convert to fraction form
    9,567.84/14,345.12 = 4,878.74/x
  3. Step 3: Cross multiply
    9,567.84x = 14,345.12 × 4,878.74
  4. Step 4: Simplify right side
    9,567.84x = 69,986,110.75
  5. Step 5: Solve for x
    x = 69,986,110.75/9,567.84
  6. Step 6: Final answer
    x = 7,314.72

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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.