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Finding the Fourth Proportional to 9,715.80, 14,564.10 and 5,038.20

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Solution

The fourth proportional to 9,715.80, 14,564.10 and 5,038.20 is: 7,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.80 : 14,564.10 = 5,038.20 : x
  2. Step 2: Convert to fraction form
    9,715.80/14,564.10 = 5,038.20/x
  3. Step 3: Cross multiply
    9,715.80x = 14,564.10 × 5,038.20
  4. Step 4: Simplify right side
    9,715.80x = 73,376,848.62
  5. Step 5: Solve for x
    x = 73,376,848.62/9,715.80
  6. Step 6: Final answer
    x = 7,552.32

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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.