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Finding the Fourth Proportional to 10,307.40, 15,461.10 and 7,715.40

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Solution

The fourth proportional to 10,307.40, 15,461.10 and 7,715.40 is: 11,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.40 : 15,461.10 = 7,715.40 : x
  2. Step 2: Convert to fraction form
    10,307.40/15,461.10 = 7,715.40/x
  3. Step 3: Cross multiply
    10,307.40x = 15,461.10 × 7,715.40
  4. Step 4: Simplify right side
    10,307.40x = 119,288,570.94
  5. Step 5: Solve for x
    x = 119,288,570.94/10,307.40
  6. Step 6: Final answer
    x = 11,573.10

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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.