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Finding the Fourth Proportional to 10,482.10, 14,472.21 and 6,509.14

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Solution

The fourth proportional to 10,482.10, 14,472.21 and 6,509.14 is: 8,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.10 : 14,472.21 = 6,509.14 : x
  2. Step 2: Convert to fraction form
    10,482.10/14,472.21 = 6,509.14/x
  3. Step 3: Cross multiply
    10,482.10x = 14,472.21 × 6,509.14
  4. Step 4: Simplify right side
    10,482.10x = 94,201,641.00
  5. Step 5: Solve for x
    x = 94,201,641.00/10,482.10
  6. Step 6: Final answer
    x = 8,986.91

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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.