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Finding the Fourth Proportional to 9,281.88, 12,813.66 and 6,053.16

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Solution

The fourth proportional to 9,281.88, 12,813.66 and 6,053.16 is: 8,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.88 : 12,813.66 = 6,053.16 : x
  2. Step 2: Convert to fraction form
    9,281.88/12,813.66 = 6,053.16/x
  3. Step 3: Cross multiply
    9,281.88x = 12,813.66 × 6,053.16
  4. Step 4: Simplify right side
    9,281.88x = 77,563,134.17
  5. Step 5: Solve for x
    x = 77,563,134.17/9,281.88
  6. Step 6: Final answer
    x = 8,356.40

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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.