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Finding the Fourth Proportional to 15,522, 21,421.64 and 8,899.28

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Solution

The fourth proportional to 15,522, 21,421.64 and 8,899.28 is: 12,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522 : 21,421.64 = 8,899.28 : x
  2. Step 2: Convert to fraction form
    15,522/21,421.64 = 8,899.28/x
  3. Step 3: Cross multiply
    15,522x = 21,421.64 × 8,899.28
  4. Step 4: Simplify right side
    15,522x = 190,637,172.42
  5. Step 5: Solve for x
    x = 190,637,172.42/15,522
  6. Step 6: Final answer
    x = 12,281.74

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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.