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Finding the Fourth Proportional to 14,307.42, 21,468.42 and 6,515.22

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Solution

The fourth proportional to 14,307.42, 21,468.42 and 6,515.22 is: 9,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.42 : 21,468.42 = 6,515.22 : x
  2. Step 2: Convert to fraction form
    14,307.42/21,468.42 = 6,515.22/x
  3. Step 3: Cross multiply
    14,307.42x = 21,468.42 × 6,515.22
  4. Step 4: Simplify right side
    14,307.42x = 139,871,479.35
  5. Step 5: Solve for x
    x = 139,871,479.35/14,307.42
  6. Step 6: Final answer
    x = 9,776.15

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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.