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Finding the Fourth Proportional to 10,523, 15,780.08 and 4,675.64

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Solution

The fourth proportional to 10,523, 15,780.08 and 4,675.64 is: 7,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523 : 15,780.08 = 4,675.64 : x
  2. Step 2: Convert to fraction form
    10,523/15,780.08 = 4,675.64/x
  3. Step 3: Cross multiply
    10,523x = 15,780.08 × 4,675.64
  4. Step 4: Simplify right side
    10,523x = 73,781,973.25
  5. Step 5: Solve for x
    x = 73,781,973.25/10,523
  6. Step 6: Final answer
    x = 7,011.50

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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.