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Finding the Fourth Proportional to 9,784.24, 14,666.72 and 6,264.24

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Solution

The fourth proportional to 9,784.24, 14,666.72 and 6,264.24 is: 9,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.24 : 14,666.72 = 6,264.24 : x
  2. Step 2: Convert to fraction form
    9,784.24/14,666.72 = 6,264.24/x
  3. Step 3: Cross multiply
    9,784.24x = 14,666.72 × 6,264.24
  4. Step 4: Simplify right side
    9,784.24x = 91,875,854.09
  5. Step 5: Solve for x
    x = 91,875,854.09/9,784.24
  6. Step 6: Final answer
    x = 9,390.19

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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.