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Finding the Fourth Proportional to 7,070.32, 9,750.48 and 4,547.98

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Solution

The fourth proportional to 7,070.32, 9,750.48 and 4,547.98 is: 6,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.32 : 9,750.48 = 4,547.98 : x
  2. Step 2: Convert to fraction form
    7,070.32/9,750.48 = 4,547.98/x
  3. Step 3: Cross multiply
    7,070.32x = 9,750.48 × 4,547.98
  4. Step 4: Simplify right side
    7,070.32x = 44,344,988.03
  5. Step 5: Solve for x
    x = 44,344,988.03/7,070.32
  6. Step 6: Final answer
    x = 6,271.99

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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.